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Finding the Third Proportional to 53,747 and 125,507.50

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Solution

The third proportional to 53,747 and 125,507.50 is: 293,079.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,747 : 125,507.50 = 125,507.50 : x
  2. Step 2: Convert to fraction form
    53,747/125,507.50 = 125,507.50/x
  3. Step 3: Cross multiply
    53,747x = 125,507.50 × 125,507.50
  4. Step 4: Simplify right side
    53,747x = 15,752,132,556.25
  5. Step 5: Solve for x
    x = 15,752,132,556.25/53,747
  6. Step 6: Final answer
    x = 293,079.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.