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Finding the Third Proportional to 44,708 and 96,677

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Solution

The third proportional to 44,708 and 96,677 is: 209,055.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,708 : 96,677 = 96,677 : x
  2. Step 2: Convert to fraction form
    44,708/96,677 = 96,677/x
  3. Step 3: Cross multiply
    44,708x = 96,677 × 96,677
  4. Step 4: Simplify right side
    44,708x = 9,346,442,329
  5. Step 5: Solve for x
    x = 9,346,442,329/44,708
  6. Step 6: Final answer
    x = 209,055.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.