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Finding the Third Proportional to 67,712 and 103,078

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Solution

The third proportional to 67,712 and 103,078 is: 156,915.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,712 : 103,078 = 103,078 : x
  2. Step 2: Convert to fraction form
    67,712/103,078 = 103,078/x
  3. Step 3: Cross multiply
    67,712x = 103,078 × 103,078
  4. Step 4: Simplify right side
    67,712x = 10,625,074,084
  5. Step 5: Solve for x
    x = 10,625,074,084/67,712
  6. Step 6: Final answer
    x = 156,915.67

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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.