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Finding the Third Proportional to 71,060 and 102,660.50

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Solution

The third proportional to 71,060 and 102,660.50 is: 148,313.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,060 : 102,660.50 = 102,660.50 : x
  2. Step 2: Convert to fraction form
    71,060/102,660.50 = 102,660.50/x
  3. Step 3: Cross multiply
    71,060x = 102,660.50 × 102,660.50
  4. Step 4: Simplify right side
    71,060x = 10,539,178,260.25
  5. Step 5: Solve for x
    x = 10,539,178,260.25/71,060
  6. Step 6: Final answer
    x = 148,313.79

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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.