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Finding the Third Proportional to 60,519 and 140,632.50

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Solution

The third proportional to 60,519 and 140,632.50 is: 326,798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,519 : 140,632.50 = 140,632.50 : x
  2. Step 2: Convert to fraction form
    60,519/140,632.50 = 140,632.50/x
  3. Step 3: Cross multiply
    60,519x = 140,632.50 × 140,632.50
  4. Step 4: Simplify right side
    60,519x = 19,777,500,056.25
  5. Step 5: Solve for x
    x = 19,777,500,056.25/60,519
  6. Step 6: Final answer
    x = 326,798.20

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.