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Finding the Third Proportional to 60,784 and 91,987

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Solution

The third proportional to 60,784 and 91,987 is: 139,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,784 : 91,987 = 91,987 : x
  2. Step 2: Convert to fraction form
    60,784/91,987 = 91,987/x
  3. Step 3: Cross multiply
    60,784x = 91,987 × 91,987
  4. Step 4: Simplify right side
    60,784x = 8,461,608,169
  5. Step 5: Solve for x
    x = 8,461,608,169/60,784
  6. Step 6: Final answer
    x = 139,207.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.