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Finding the Third Proportional to 59,851 and 91,074

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Solution

The third proportional to 59,851 and 91,074 is: 138,585.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,851 : 91,074 = 91,074 : x
  2. Step 2: Convert to fraction form
    59,851/91,074 = 91,074/x
  3. Step 3: Cross multiply
    59,851x = 91,074 × 91,074
  4. Step 4: Simplify right side
    59,851x = 8,294,473,476
  5. Step 5: Solve for x
    x = 8,294,473,476/59,851
  6. Step 6: Final answer
    x = 138,585.38

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.