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Finding the Third Proportional to 109,532.25 and 159,988.50

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Solution

The third proportional to 109,532.25 and 159,988.50 is: 233,687.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,532.25 : 159,988.50 = 159,988.50 : x
  2. Step 2: Convert to fraction form
    109,532.25/159,988.50 = 159,988.50/x
  3. Step 3: Cross multiply
    109,532.25x = 159,988.50 × 159,988.50
  4. Step 4: Simplify right side
    109,532.25x = 25,596,320,132.25
  5. Step 5: Solve for x
    x = 25,596,320,132.25/109,532.25
  6. Step 6: Final answer
    x = 233,687.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.