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Finding the Third Proportional to 72,472 and 100,140

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Solution

The third proportional to 72,472 and 100,140 is: 138,370.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,472 : 100,140 = 100,140 : x
  2. Step 2: Convert to fraction form
    72,472/100,140 = 100,140/x
  3. Step 3: Cross multiply
    72,472x = 100,140 × 100,140
  4. Step 4: Simplify right side
    72,472x = 10,028,019,600
  5. Step 5: Solve for x
    x = 10,028,019,600/72,472
  6. Step 6: Final answer
    x = 138,370.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.