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Finding the Third Proportional to 64,109 and 99,523

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Solution

The third proportional to 64,109 and 99,523 is: 154,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,109 : 99,523 = 99,523 : x
  2. Step 2: Convert to fraction form
    64,109/99,523 = 99,523/x
  3. Step 3: Cross multiply
    64,109x = 99,523 × 99,523
  4. Step 4: Simplify right side
    64,109x = 9,904,827,529
  5. Step 5: Solve for x
    x = 9,904,827,529/64,109
  6. Step 6: Final answer
    x = 154,499.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.