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Finding the Third Proportional to 56,394 and 120,558

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Solution

The third proportional to 56,394 and 120,558 is: 257,726.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,394 : 120,558 = 120,558 : x
  2. Step 2: Convert to fraction form
    56,394/120,558 = 120,558/x
  3. Step 3: Cross multiply
    56,394x = 120,558 × 120,558
  4. Step 4: Simplify right side
    56,394x = 14,534,231,364
  5. Step 5: Solve for x
    x = 14,534,231,364/56,394
  6. Step 6: Final answer
    x = 257,726.56

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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.