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Finding the Third Proportional to 86,569 and 129,853.50

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Solution

The third proportional to 86,569 and 129,853.50 is: 194,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,569 : 129,853.50 = 129,853.50 : x
  2. Step 2: Convert to fraction form
    86,569/129,853.50 = 129,853.50/x
  3. Step 3: Cross multiply
    86,569x = 129,853.50 × 129,853.50
  4. Step 4: Simplify right side
    86,569x = 16,861,931,462.25
  5. Step 5: Solve for x
    x = 16,861,931,462.25/86,569
  6. Step 6: Final answer
    x = 194,780.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.