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Finding the Third Proportional to 53,498 and 114,403

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Solution

The third proportional to 53,498 and 114,403 is: 244,645.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,498 : 114,403 = 114,403 : x
  2. Step 2: Convert to fraction form
    53,498/114,403 = 114,403/x
  3. Step 3: Cross multiply
    53,498x = 114,403 × 114,403
  4. Step 4: Simplify right side
    53,498x = 13,088,046,409
  5. Step 5: Solve for x
    x = 13,088,046,409/53,498
  6. Step 6: Final answer
    x = 244,645.53

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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.