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Finding the Third Proportional to 53,521 and 114,424

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Solution

The third proportional to 53,521 and 114,424 is: 244,630.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,521 : 114,424 = 114,424 : x
  2. Step 2: Convert to fraction form
    53,521/114,424 = 114,424/x
  3. Step 3: Cross multiply
    53,521x = 114,424 × 114,424
  4. Step 4: Simplify right side
    53,521x = 13,092,851,776
  5. Step 5: Solve for x
    x = 13,092,851,776/53,521
  6. Step 6: Final answer
    x = 244,630.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.