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Finding the Third Proportional to 53,377.50 and 115,521

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Solution

The third proportional to 53,377.50 and 115,521 is: 250,013.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,377.50 : 115,521 = 115,521 : x
  2. Step 2: Convert to fraction form
    53,377.50/115,521 = 115,521/x
  3. Step 3: Cross multiply
    53,377.50x = 115,521 × 115,521
  4. Step 4: Simplify right side
    53,377.50x = 13,345,101,441
  5. Step 5: Solve for x
    x = 13,345,101,441/53,377.50
  6. Step 6: Final answer
    x = 250,013.61

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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.