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Finding the Third Proportional to 53,440 and 114,919

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Solution

The third proportional to 53,440 and 114,919 is: 247,125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,440 : 114,919 = 114,919 : x
  2. Step 2: Convert to fraction form
    53,440/114,919 = 114,919/x
  3. Step 3: Cross multiply
    53,440x = 114,919 × 114,919
  4. Step 4: Simplify right side
    53,440x = 13,206,376,561
  5. Step 5: Solve for x
    x = 13,206,376,561/53,440
  6. Step 6: Final answer
    x = 247,125.31

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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.