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Finding the Third Proportional to 42,660 and 88,046

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Solution

The third proportional to 42,660 and 88,046 is: 181,718.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,660 : 88,046 = 88,046 : x
  2. Step 2: Convert to fraction form
    42,660/88,046 = 88,046/x
  3. Step 3: Cross multiply
    42,660x = 88,046 × 88,046
  4. Step 4: Simplify right side
    42,660x = 7,752,098,116
  5. Step 5: Solve for x
    x = 7,752,098,116/42,660
  6. Step 6: Final answer
    x = 181,718.19

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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.