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Finding the Third Proportional to 42,013.69 and 87,922.13

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Solution

The third proportional to 42,013.69 and 87,922.13 is: 183,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,013.69 : 87,922.13 = 87,922.13 : x
  2. Step 2: Convert to fraction form
    42,013.69/87,922.13 = 87,922.13/x
  3. Step 3: Cross multiply
    42,013.69x = 87,922.13 × 87,922.13
  4. Step 4: Simplify right side
    42,013.69x = 7,730,300,064.52
  5. Step 5: Solve for x
    x = 7,730,300,064.52/42,013.69
  6. Step 6: Final answer
    x = 183,994.80

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.