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Finding the Third Proportional to 75,883.50 and 109,629

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Solution

The third proportional to 75,883.50 and 109,629 is: 158,381.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,883.50 : 109,629 = 109,629 : x
  2. Step 2: Convert to fraction form
    75,883.50/109,629 = 109,629/x
  3. Step 3: Cross multiply
    75,883.50x = 109,629 × 109,629
  4. Step 4: Simplify right side
    75,883.50x = 12,018,517,641
  5. Step 5: Solve for x
    x = 12,018,517,641/75,883.50
  6. Step 6: Final answer
    x = 158,381.17

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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.