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Finding the Third Proportional to 60,069 and 86,527.50

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Solution

The third proportional to 60,069 and 86,527.50 is: 124,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,069 : 86,527.50 = 86,527.50 : x
  2. Step 2: Convert to fraction form
    60,069/86,527.50 = 86,527.50/x
  3. Step 3: Cross multiply
    60,069x = 86,527.50 × 86,527.50
  4. Step 4: Simplify right side
    60,069x = 7,487,008,256.25
  5. Step 5: Solve for x
    x = 7,487,008,256.25/60,069
  6. Step 6: Final answer
    x = 124,640.13

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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.