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Finding the Third Proportional to 42,406.75 and 88,301.75

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Solution

The third proportional to 42,406.75 and 88,301.75 is: 183,866.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,406.75 : 88,301.75 = 88,301.75 : x
  2. Step 2: Convert to fraction form
    42,406.75/88,301.75 = 88,301.75/x
  3. Step 3: Cross multiply
    42,406.75x = 88,301.75 × 88,301.75
  4. Step 4: Simplify right side
    42,406.75x = 7,797,199,053.06
  5. Step 5: Solve for x
    x = 7,797,199,053.06/42,406.75
  6. Step 6: Final answer
    x = 183,866.93

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.