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Finding the Third Proportional to 42,712.88 and 93,468.75

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Solution

The third proportional to 42,712.88 and 93,468.75 is: 204,538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,712.88 : 93,468.75 = 93,468.75 : x
  2. Step 2: Convert to fraction form
    42,712.88/93,468.75 = 93,468.75/x
  3. Step 3: Cross multiply
    42,712.88x = 93,468.75 × 93,468.75
  4. Step 4: Simplify right side
    42,712.88x = 8,736,407,226.56
  5. Step 5: Solve for x
    x = 8,736,407,226.56/42,712.88
  6. Step 6: Final answer
    x = 204,538.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.