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Finding the Third Proportional to 61,548 and 88,008

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Solution

The third proportional to 61,548 and 88,008 is: 125,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,548 : 88,008 = 88,008 : x
  2. Step 2: Convert to fraction form
    61,548/88,008 = 88,008/x
  3. Step 3: Cross multiply
    61,548x = 88,008 × 88,008
  4. Step 4: Simplify right side
    61,548x = 7,745,408,064
  5. Step 5: Solve for x
    x = 7,745,408,064/61,548
  6. Step 6: Final answer
    x = 125,843.38

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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.