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Finding the Third Proportional to 59,750 and 130,036

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Solution

The third proportional to 59,750 and 130,036 is: 283,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,750 : 130,036 = 130,036 : x
  2. Step 2: Convert to fraction form
    59,750/130,036 = 130,036/x
  3. Step 3: Cross multiply
    59,750x = 130,036 × 130,036
  4. Step 4: Simplify right side
    59,750x = 16,909,361,296
  5. Step 5: Solve for x
    x = 16,909,361,296/59,750
  6. Step 6: Final answer
    x = 283,001.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.