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Finding the Third Proportional to 44,522 and 97,972

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Solution

The third proportional to 44,522 and 97,972 is: 215,590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,522 : 97,972 = 97,972 : x
  2. Step 2: Convert to fraction form
    44,522/97,972 = 97,972/x
  3. Step 3: Cross multiply
    44,522x = 97,972 × 97,972
  4. Step 4: Simplify right side
    44,522x = 9,598,512,784
  5. Step 5: Solve for x
    x = 9,598,512,784/44,522
  6. Step 6: Final answer
    x = 215,590.33

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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.