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Finding the Third Proportional to 60,432.75 and 128,069.02

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Solution

The third proportional to 60,432.75 and 128,069.02 is: 271,403.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,432.75 : 128,069.02 = 128,069.02 : x
  2. Step 2: Convert to fraction form
    60,432.75/128,069.02 = 128,069.02/x
  3. Step 3: Cross multiply
    60,432.75x = 128,069.02 × 128,069.02
  4. Step 4: Simplify right side
    60,432.75x = 16,401,672,763.16
  5. Step 5: Solve for x
    x = 16,401,672,763.16/60,432.75
  6. Step 6: Final answer
    x = 271,403.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.