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Finding the Third Proportional to 78,874.88 and 114,711.75

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Solution

The third proportional to 78,874.88 and 114,711.75 is: 166,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,874.88 : 114,711.75 = 114,711.75 : x
  2. Step 2: Convert to fraction form
    78,874.88/114,711.75 = 114,711.75/x
  3. Step 3: Cross multiply
    78,874.88x = 114,711.75 × 114,711.75
  4. Step 4: Simplify right side
    78,874.88x = 13,158,785,588.06
  5. Step 5: Solve for x
    x = 13,158,785,588.06/78,874.88
  6. Step 6: Final answer
    x = 166,831.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.