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Finding the Third Proportional to 57,217 and 87,527

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Solution

The third proportional to 57,217 and 87,527 is: 133,893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,217 : 87,527 = 87,527 : x
  2. Step 2: Convert to fraction form
    57,217/87,527 = 87,527/x
  3. Step 3: Cross multiply
    57,217x = 87,527 × 87,527
  4. Step 4: Simplify right side
    57,217x = 7,660,975,729
  5. Step 5: Solve for x
    x = 7,660,975,729/57,217
  6. Step 6: Final answer
    x = 133,893.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.