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Finding the Third Proportional to 52,376 and 97,092

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Solution

The third proportional to 52,376 and 97,092 is: 179,984.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,376 : 97,092 = 97,092 : x
  2. Step 2: Convert to fraction form
    52,376/97,092 = 97,092/x
  3. Step 3: Cross multiply
    52,376x = 97,092 × 97,092
  4. Step 4: Simplify right side
    52,376x = 9,426,856,464
  5. Step 5: Solve for x
    x = 9,426,856,464/52,376
  6. Step 6: Final answer
    x = 179,984.28

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.