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Finding the Third Proportional to 44,065 and 96,878

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Solution

The third proportional to 44,065 and 96,878 is: 212,988.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,065 : 96,878 = 96,878 : x
  2. Step 2: Convert to fraction form
    44,065/96,878 = 96,878/x
  3. Step 3: Cross multiply
    44,065x = 96,878 × 96,878
  4. Step 4: Simplify right side
    44,065x = 9,385,346,884
  5. Step 5: Solve for x
    x = 9,385,346,884/44,065
  6. Step 6: Final answer
    x = 212,988.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.