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Finding the Third Proportional to 58,443.19 and 126,113.63

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Solution

The third proportional to 58,443.19 and 126,113.63 is: 272,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,443.19 : 126,113.63 = 126,113.63 : x
  2. Step 2: Convert to fraction form
    58,443.19/126,113.63 = 126,113.63/x
  3. Step 3: Cross multiply
    58,443.19x = 126,113.63 × 126,113.63
  4. Step 4: Simplify right side
    58,443.19x = 15,904,646,410.64
  5. Step 5: Solve for x
    x = 15,904,646,410.64/58,443.19
  6. Step 6: Final answer
    x = 272,138.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.