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Finding the Third Proportional to 53,691 and 114,294

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Solution

The third proportional to 53,691 and 114,294 is: 243,301.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,691 : 114,294 = 114,294 : x
  2. Step 2: Convert to fraction form
    53,691/114,294 = 114,294/x
  3. Step 3: Cross multiply
    53,691x = 114,294 × 114,294
  4. Step 4: Simplify right side
    53,691x = 13,063,118,436
  5. Step 5: Solve for x
    x = 13,063,118,436/53,691
  6. Step 6: Final answer
    x = 243,301.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.