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Finding the Third Proportional to 87,465 and 135,061.50

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Solution

The third proportional to 87,465 and 135,061.50 is: 208,558.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,465 : 135,061.50 = 135,061.50 : x
  2. Step 2: Convert to fraction form
    87,465/135,061.50 = 135,061.50/x
  3. Step 3: Cross multiply
    87,465x = 135,061.50 × 135,061.50
  4. Step 4: Simplify right side
    87,465x = 18,241,608,782.25
  5. Step 5: Solve for x
    x = 18,241,608,782.25/87,465
  6. Step 6: Final answer
    x = 208,558.95

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.