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Finding the Third Proportional to 101,810 and 155,348

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Solution

The third proportional to 101,810 and 155,348 is: 237,039.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,810 : 155,348 = 155,348 : x
  2. Step 2: Convert to fraction form
    101,810/155,348 = 155,348/x
  3. Step 3: Cross multiply
    101,810x = 155,348 × 155,348
  4. Step 4: Simplify right side
    101,810x = 24,133,001,104
  5. Step 5: Solve for x
    x = 24,133,001,104/101,810
  6. Step 6: Final answer
    x = 237,039.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.