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Finding the Third Proportional to 66,499 and 99,815

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Solution

The third proportional to 66,499 and 99,815 is: 149,822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,499 : 99,815 = 99,815 : x
  2. Step 2: Convert to fraction form
    66,499/99,815 = 99,815/x
  3. Step 3: Cross multiply
    66,499x = 99,815 × 99,815
  4. Step 4: Simplify right side
    66,499x = 9,963,034,225
  5. Step 5: Solve for x
    x = 9,963,034,225/66,499
  6. Step 6: Final answer
    x = 149,822.32

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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.