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Finding the Third Proportional to 66,524 and 99,523.50

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Solution

The third proportional to 66,524 and 99,523.50 is: 148,892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,524 : 99,523.50 = 99,523.50 : x
  2. Step 2: Convert to fraction form
    66,524/99,523.50 = 99,523.50/x
  3. Step 3: Cross multiply
    66,524x = 99,523.50 × 99,523.50
  4. Step 4: Simplify right side
    66,524x = 9,904,927,052.25
  5. Step 5: Solve for x
    x = 9,904,927,052.25/66,524
  6. Step 6: Final answer
    x = 148,892.54

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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.