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Finding the Third Proportional to 134,983.13 and 192,901.50

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Solution

The third proportional to 134,983.13 and 192,901.50 is: 275,671.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,983.13 : 192,901.50 = 192,901.50 : x
  2. Step 2: Convert to fraction form
    134,983.13/192,901.50 = 192,901.50/x
  3. Step 3: Cross multiply
    134,983.13x = 192,901.50 × 192,901.50
  4. Step 4: Simplify right side
    134,983.13x = 37,210,988,702.25
  5. Step 5: Solve for x
    x = 37,210,988,702.25/134,983.13
  6. Step 6: Final answer
    x = 275,671.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.