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Finding the Third Proportional to 57,952 and 82,715.75

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Solution

The third proportional to 57,952 and 82,715.75 is: 118,061.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,952 : 82,715.75 = 82,715.75 : x
  2. Step 2: Convert to fraction form
    57,952/82,715.75 = 82,715.75/x
  3. Step 3: Cross multiply
    57,952x = 82,715.75 × 82,715.75
  4. Step 4: Simplify right side
    57,952x = 6,841,895,298.06
  5. Step 5: Solve for x
    x = 6,841,895,298.06/57,952
  6. Step 6: Final answer
    x = 118,061.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.