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Finding the Third Proportional to 139,959 and 215,142.75

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Solution

The third proportional to 139,959 and 215,142.75 is: 330,714.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,959 : 215,142.75 = 215,142.75 : x
  2. Step 2: Convert to fraction form
    139,959/215,142.75 = 215,142.75/x
  3. Step 3: Cross multiply
    139,959x = 215,142.75 × 215,142.75
  4. Step 4: Simplify right side
    139,959x = 46,286,402,877.56
  5. Step 5: Solve for x
    x = 46,286,402,877.56/139,959
  6. Step 6: Final answer
    x = 330,714.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.