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Finding the Third Proportional to 109,299 and 160,252.50

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Solution

The third proportional to 109,299 and 160,252.50 is: 234,959.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,299 : 160,252.50 = 160,252.50 : x
  2. Step 2: Convert to fraction form
    109,299/160,252.50 = 160,252.50/x
  3. Step 3: Cross multiply
    109,299x = 160,252.50 × 160,252.50
  4. Step 4: Simplify right side
    109,299x = 25,680,863,756.25
  5. Step 5: Solve for x
    x = 25,680,863,756.25/109,299
  6. Step 6: Final answer
    x = 234,959.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.