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Finding the Third Proportional to 60,322 and 88,727

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Solution

The third proportional to 60,322 and 88,727 is: 130,507.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,322 : 88,727 = 88,727 : x
  2. Step 2: Convert to fraction form
    60,322/88,727 = 88,727/x
  3. Step 3: Cross multiply
    60,322x = 88,727 × 88,727
  4. Step 4: Simplify right side
    60,322x = 7,872,480,529
  5. Step 5: Solve for x
    x = 7,872,480,529/60,322
  6. Step 6: Final answer
    x = 130,507.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.