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Finding the Third Proportional to 42,384.52 and 88,265.95

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Solution

The third proportional to 42,384.52 and 88,265.95 is: 183,814.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,384.52 : 88,265.95 = 88,265.95 : x
  2. Step 2: Convert to fraction form
    42,384.52/88,265.95 = 88,265.95/x
  3. Step 3: Cross multiply
    42,384.52x = 88,265.95 × 88,265.95
  4. Step 4: Simplify right side
    42,384.52x = 7,790,878,481.06
  5. Step 5: Solve for x
    x = 7,790,878,481.06/42,384.52
  6. Step 6: Final answer
    x = 183,814.26

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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.