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Finding the Third Proportional to 58,430.25 and 126,203.25

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Solution

The third proportional to 58,430.25 and 126,203.25 is: 272,585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,430.25 : 126,203.25 = 126,203.25 : x
  2. Step 2: Convert to fraction form
    58,430.25/126,203.25 = 126,203.25/x
  3. Step 3: Cross multiply
    58,430.25x = 126,203.25 × 126,203.25
  4. Step 4: Simplify right side
    58,430.25x = 15,927,260,310.56
  5. Step 5: Solve for x
    x = 15,927,260,310.56/58,430.25
  6. Step 6: Final answer
    x = 272,585.87

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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.