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Finding the Third Proportional to 44,969 and 96,499

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Solution

The third proportional to 44,969 and 96,499 is: 207,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,969 : 96,499 = 96,499 : x
  2. Step 2: Convert to fraction form
    44,969/96,499 = 96,499/x
  3. Step 3: Cross multiply
    44,969x = 96,499 × 96,499
  4. Step 4: Simplify right side
    44,969x = 9,312,057,001
  5. Step 5: Solve for x
    x = 9,312,057,001/44,969
  6. Step 6: Final answer
    x = 207,077.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.