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Finding the Third Proportional to 72,024.75 and 103,387.50

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Solution

The third proportional to 72,024.75 and 103,387.50 is: 148,406.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,024.75 : 103,387.50 = 103,387.50 : x
  2. Step 2: Convert to fraction form
    72,024.75/103,387.50 = 103,387.50/x
  3. Step 3: Cross multiply
    72,024.75x = 103,387.50 × 103,387.50
  4. Step 4: Simplify right side
    72,024.75x = 10,688,975,156.25
  5. Step 5: Solve for x
    x = 10,688,975,156.25/72,024.75
  6. Step 6: Final answer
    x = 148,406.97

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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.