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Finding the Third Proportional to 67,877.16 and 89,258.63

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Solution

The third proportional to 67,877.16 and 89,258.63 is: 117,375.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,877.16 : 89,258.63 = 89,258.63 : x
  2. Step 2: Convert to fraction form
    67,877.16/89,258.63 = 89,258.63/x
  3. Step 3: Cross multiply
    67,877.16x = 89,258.63 × 89,258.63
  4. Step 4: Simplify right side
    67,877.16x = 7,967,102,136.89
  5. Step 5: Solve for x
    x = 7,967,102,136.89/67,877.16
  6. Step 6: Final answer
    x = 117,375.31

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.