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Finding the Third Proportional to 42,570 and 91,458

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Solution

The third proportional to 42,570 and 91,458 is: 196,489.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,570 : 91,458 = 91,458 : x
  2. Step 2: Convert to fraction form
    42,570/91,458 = 91,458/x
  3. Step 3: Cross multiply
    42,570x = 91,458 × 91,458
  4. Step 4: Simplify right side
    42,570x = 8,364,565,764
  5. Step 5: Solve for x
    x = 8,364,565,764/42,570
  6. Step 6: Final answer
    x = 196,489.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.