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Finding the Third Proportional to 96,102 and 146,523

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Solution

The third proportional to 96,102 and 146,523 is: 223,397.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,102 : 146,523 = 146,523 : x
  2. Step 2: Convert to fraction form
    96,102/146,523 = 146,523/x
  3. Step 3: Cross multiply
    96,102x = 146,523 × 146,523
  4. Step 4: Simplify right side
    96,102x = 21,468,989,529
  5. Step 5: Solve for x
    x = 21,468,989,529/96,102
  6. Step 6: Final answer
    x = 223,397.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.