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Finding the Third Proportional to 42,656 and 88,044

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Solution

The third proportional to 42,656 and 88,044 is: 181,726.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,656 : 88,044 = 88,044 : x
  2. Step 2: Convert to fraction form
    42,656/88,044 = 88,044/x
  3. Step 3: Cross multiply
    42,656x = 88,044 × 88,044
  4. Step 4: Simplify right side
    42,656x = 7,751,745,936
  5. Step 5: Solve for x
    x = 7,751,745,936/42,656
  6. Step 6: Final answer
    x = 181,726.98

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.