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Finding the Third Proportional to 66,523.50 and 99,523

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Solution

The third proportional to 66,523.50 and 99,523 is: 148,892.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,523.50 : 99,523 = 99,523 : x
  2. Step 2: Convert to fraction form
    66,523.50/99,523 = 99,523/x
  3. Step 3: Cross multiply
    66,523.50x = 99,523 × 99,523
  4. Step 4: Simplify right side
    66,523.50x = 9,904,827,529
  5. Step 5: Solve for x
    x = 9,904,827,529/66,523.50
  6. Step 6: Final answer
    x = 148,892.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.