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Finding the Third Proportional to 56,348 and 120,692

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Solution

The third proportional to 56,348 and 120,692 is: 258,510.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,348 : 120,692 = 120,692 : x
  2. Step 2: Convert to fraction form
    56,348/120,692 = 120,692/x
  3. Step 3: Cross multiply
    56,348x = 120,692 × 120,692
  4. Step 4: Simplify right side
    56,348x = 14,566,558,864
  5. Step 5: Solve for x
    x = 14,566,558,864/56,348
  6. Step 6: Final answer
    x = 258,510.66

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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.