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Finding the Third Proportional to 60,591 and 141,514.50

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Solution

The third proportional to 60,591 and 141,514.50 is: 330,516.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,591 : 141,514.50 = 141,514.50 : x
  2. Step 2: Convert to fraction form
    60,591/141,514.50 = 141,514.50/x
  3. Step 3: Cross multiply
    60,591x = 141,514.50 × 141,514.50
  4. Step 4: Simplify right side
    60,591x = 20,026,353,710.25
  5. Step 5: Solve for x
    x = 20,026,353,710.25/60,591
  6. Step 6: Final answer
    x = 330,516.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.