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Finding the Third Proportional to 61,544 and 88,009

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Solution

The third proportional to 61,544 and 88,009 is: 125,854.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,544 : 88,009 = 88,009 : x
  2. Step 2: Convert to fraction form
    61,544/88,009 = 88,009/x
  3. Step 3: Cross multiply
    61,544x = 88,009 × 88,009
  4. Step 4: Simplify right side
    61,544x = 7,745,584,081
  5. Step 5: Solve for x
    x = 7,745,584,081/61,544
  6. Step 6: Final answer
    x = 125,854.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.