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Finding the Third Proportional to 78,068 and 115,644

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Solution

The third proportional to 78,068 and 115,644 is: 171,306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,068 : 115,644 = 115,644 : x
  2. Step 2: Convert to fraction form
    78,068/115,644 = 115,644/x
  3. Step 3: Cross multiply
    78,068x = 115,644 × 115,644
  4. Step 4: Simplify right side
    78,068x = 13,373,534,736
  5. Step 5: Solve for x
    x = 13,373,534,736/78,068
  6. Step 6: Final answer
    x = 171,306.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.