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Finding the Third Proportional to 44,756 and 97,499

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Solution

The third proportional to 44,756 and 97,499 is: 212,397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,756 : 97,499 = 97,499 : x
  2. Step 2: Convert to fraction form
    44,756/97,499 = 97,499/x
  3. Step 3: Cross multiply
    44,756x = 97,499 × 97,499
  4. Step 4: Simplify right side
    44,756x = 9,506,055,001
  5. Step 5: Solve for x
    x = 9,506,055,001/44,756
  6. Step 6: Final answer
    x = 212,397.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.