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Finding the Third Proportional to 141,328.13 and 191,912.63

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Solution

The third proportional to 141,328.13 and 191,912.63 is: 260,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,328.13 : 191,912.63 = 191,912.63 : x
  2. Step 2: Convert to fraction form
    141,328.13/191,912.63 = 191,912.63/x
  3. Step 3: Cross multiply
    141,328.13x = 191,912.63 × 191,912.63
  4. Step 4: Simplify right side
    141,328.13x = 36,830,455,634.39
  5. Step 5: Solve for x
    x = 36,830,455,634.39/141,328.13
  6. Step 6: Final answer
    x = 260,602.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.