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Finding the Third Proportional to 72,019.13 and 103,381.31

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Solution

The third proportional to 72,019.13 and 103,381.31 is: 148,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,019.13 : 103,381.31 = 103,381.31 : x
  2. Step 2: Convert to fraction form
    72,019.13/103,381.31 = 103,381.31/x
  3. Step 3: Cross multiply
    72,019.13x = 103,381.31 × 103,381.31
  4. Step 4: Simplify right side
    72,019.13x = 10,687,695,774.22
  5. Step 5: Solve for x
    x = 10,687,695,774.22/72,019.13
  6. Step 6: Final answer
    x = 148,400.80

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.