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Finding the Third Proportional to 75,883.50 and 109,312.88

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Solution

The third proportional to 75,883.50 and 109,312.88 is: 157,469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,883.50 : 109,312.88 = 109,312.88 : x
  2. Step 2: Convert to fraction form
    75,883.50/109,312.88 = 109,312.88/x
  3. Step 3: Cross multiply
    75,883.50x = 109,312.88 × 109,312.88
  4. Step 4: Simplify right side
    75,883.50x = 11,949,304,640.77
  5. Step 5: Solve for x
    x = 11,949,304,640.77/75,883.50
  6. Step 6: Final answer
    x = 157,469.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.