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Finding the Third Proportional to 75,747 and 117,613.13

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Solution

The third proportional to 75,747 and 117,613.13 is: 182,619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,747 : 117,613.13 = 117,613.13 : x
  2. Step 2: Convert to fraction form
    75,747/117,613.13 = 117,613.13/x
  3. Step 3: Cross multiply
    75,747x = 117,613.13 × 117,613.13
  4. Step 4: Simplify right side
    75,747x = 13,832,847,172.27
  5. Step 5: Solve for x
    x = 13,832,847,172.27/75,747
  6. Step 6: Final answer
    x = 182,619.08

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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.