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Finding the Third Proportional to 72,792 and 159,432

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Solution

The third proportional to 72,792 and 159,432 is: 349,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,792 : 159,432 = 159,432 : x
  2. Step 2: Convert to fraction form
    72,792/159,432 = 159,432/x
  3. Step 3: Cross multiply
    72,792x = 159,432 × 159,432
  4. Step 4: Simplify right side
    72,792x = 25,418,562,624
  5. Step 5: Solve for x
    x = 25,418,562,624/72,792
  6. Step 6: Final answer
    x = 349,194.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.