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Finding the Third Proportional to 57,548 and 86,068

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Solution

The third proportional to 57,548 and 86,068 is: 128,722.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,548 : 86,068 = 86,068 : x
  2. Step 2: Convert to fraction form
    57,548/86,068 = 86,068/x
  3. Step 3: Cross multiply
    57,548x = 86,068 × 86,068
  4. Step 4: Simplify right side
    57,548x = 7,407,700,624
  5. Step 5: Solve for x
    x = 7,407,700,624/57,548
  6. Step 6: Final answer
    x = 128,722.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.