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Finding the Third Proportional to 61,614 and 88,044

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Solution

The third proportional to 61,614 and 88,044 is: 125,811.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,614 : 88,044 = 88,044 : x
  2. Step 2: Convert to fraction form
    61,614/88,044 = 88,044/x
  3. Step 3: Cross multiply
    61,614x = 88,044 × 88,044
  4. Step 4: Simplify right side
    61,614x = 7,751,745,936
  5. Step 5: Solve for x
    x = 7,751,745,936/61,614
  6. Step 6: Final answer
    x = 125,811.44

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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.