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Finding the Third Proportional to 83,641.50 and 119,234.25

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Solution

The third proportional to 83,641.50 and 119,234.25 is: 169,973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,641.50 : 119,234.25 = 119,234.25 : x
  2. Step 2: Convert to fraction form
    83,641.50/119,234.25 = 119,234.25/x
  3. Step 3: Cross multiply
    83,641.50x = 119,234.25 × 119,234.25
  4. Step 4: Simplify right side
    83,641.50x = 14,216,806,373.06
  5. Step 5: Solve for x
    x = 14,216,806,373.06/83,641.50
  6. Step 6: Final answer
    x = 169,973.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.