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Finding the Third Proportional to 72,061.31 and 153,478.13

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Solution

The third proportional to 72,061.31 and 153,478.13 is: 326,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,061.31 : 153,478.13 = 153,478.13 : x
  2. Step 2: Convert to fraction form
    72,061.31/153,478.13 = 153,478.13/x
  3. Step 3: Cross multiply
    72,061.31x = 153,478.13 × 153,478.13
  4. Step 4: Simplify right side
    72,061.31x = 23,555,534,853.52
  5. Step 5: Solve for x
    x = 23,555,534,853.52/72,061.31
  6. Step 6: Final answer
    x = 326,881.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.