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Finding the Third Proportional to 57,447 and 88,281

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Solution

The third proportional to 57,447 and 88,281 is: 135,664.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,447 : 88,281 = 88,281 : x
  2. Step 2: Convert to fraction form
    57,447/88,281 = 88,281/x
  3. Step 3: Cross multiply
    57,447x = 88,281 × 88,281
  4. Step 4: Simplify right side
    57,447x = 7,793,534,961
  5. Step 5: Solve for x
    x = 7,793,534,961/57,447
  6. Step 6: Final answer
    x = 135,664.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.