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Finding the Third Proportional to 79,306 and 107,655.50

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Solution

The third proportional to 79,306 and 107,655.50 is: 146,139.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,306 : 107,655.50 = 107,655.50 : x
  2. Step 2: Convert to fraction form
    79,306/107,655.50 = 107,655.50/x
  3. Step 3: Cross multiply
    79,306x = 107,655.50 × 107,655.50
  4. Step 4: Simplify right side
    79,306x = 11,589,706,680.25
  5. Step 5: Solve for x
    x = 11,589,706,680.25/79,306
  6. Step 6: Final answer
    x = 146,139.09

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.