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Finding the Third Proportional to 56,412.75 and 120,070.13

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Solution

The third proportional to 56,412.75 and 120,070.13 is: 255,559.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,412.75 : 120,070.13 = 120,070.13 : x
  2. Step 2: Convert to fraction form
    56,412.75/120,070.13 = 120,070.13/x
  3. Step 3: Cross multiply
    56,412.75x = 120,070.13 × 120,070.13
  4. Step 4: Simplify right side
    56,412.75x = 14,416,834,917.52
  5. Step 5: Solve for x
    x = 14,416,834,917.52/56,412.75
  6. Step 6: Final answer
    x = 255,559.87

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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.