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Finding the Third Proportional to 53,329 and 114,572.25

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Solution

The third proportional to 53,329 and 114,572.25 is: 246,147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,329 : 114,572.25 = 114,572.25 : x
  2. Step 2: Convert to fraction form
    53,329/114,572.25 = 114,572.25/x
  3. Step 3: Cross multiply
    53,329x = 114,572.25 × 114,572.25
  4. Step 4: Simplify right side
    53,329x = 13,126,800,470.06
  5. Step 5: Solve for x
    x = 13,126,800,470.06/53,329
  6. Step 6: Final answer
    x = 246,147.51

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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.