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Finding the Third Proportional to 67,617 and 99,511.88

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Solution

The third proportional to 67,617 and 99,511.88 is: 146,451.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,617 : 99,511.88 = 99,511.88 : x
  2. Step 2: Convert to fraction form
    67,617/99,511.88 = 99,511.88/x
  3. Step 3: Cross multiply
    67,617x = 99,511.88 × 99,511.88
  4. Step 4: Simplify right side
    67,617x = 9,902,613,266.02
  5. Step 5: Solve for x
    x = 9,902,613,266.02/67,617
  6. Step 6: Final answer
    x = 146,451.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.