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Finding the Third Proportional to 62,552 and 92,174

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Solution

The third proportional to 62,552 and 92,174 is: 135,823.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,552 : 92,174 = 92,174 : x
  2. Step 2: Convert to fraction form
    62,552/92,174 = 92,174/x
  3. Step 3: Cross multiply
    62,552x = 92,174 × 92,174
  4. Step 4: Simplify right side
    62,552x = 8,496,046,276
  5. Step 5: Solve for x
    x = 8,496,046,276/62,552
  6. Step 6: Final answer
    x = 135,823.74

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Why These Related Problems?

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