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Finding the Third Proportional to 56,182.13 and 120,360.38

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Solution

The third proportional to 56,182.13 and 120,360.38 is: 257,851.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,182.13 : 120,360.38 = 120,360.38 : x
  2. Step 2: Convert to fraction form
    56,182.13/120,360.38 = 120,360.38/x
  3. Step 3: Cross multiply
    56,182.13x = 120,360.38 × 120,360.38
  4. Step 4: Simplify right side
    56,182.13x = 14,486,619,870.14
  5. Step 5: Solve for x
    x = 14,486,619,870.14/56,182.13
  6. Step 6: Final answer
    x = 257,851.05

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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.