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Finding the Third Proportional to 72,572 and 106,374

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Solution

The third proportional to 72,572 and 106,374 is: 155,920.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,572 : 106,374 = 106,374 : x
  2. Step 2: Convert to fraction form
    72,572/106,374 = 106,374/x
  3. Step 3: Cross multiply
    72,572x = 106,374 × 106,374
  4. Step 4: Simplify right side
    72,572x = 11,315,427,876
  5. Step 5: Solve for x
    x = 11,315,427,876/72,572
  6. Step 6: Final answer
    x = 155,920.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.