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Finding the Third Proportional to 59,036.63 and 126,820.13

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Solution

The third proportional to 59,036.63 and 126,820.13 is: 272,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,036.63 : 126,820.13 = 126,820.13 : x
  2. Step 2: Convert to fraction form
    59,036.63/126,820.13 = 126,820.13/x
  3. Step 3: Cross multiply
    59,036.63x = 126,820.13 × 126,820.13
  4. Step 4: Simplify right side
    59,036.63x = 16,083,344,105.02
  5. Step 5: Solve for x
    x = 16,083,344,105.02/59,036.63
  6. Step 6: Final answer
    x = 272,429.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.