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Finding the Third Proportional to 60,096.94 and 129,830.34

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Solution

The third proportional to 60,096.94 and 129,830.34 is: 280,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,096.94 : 129,830.34 = 129,830.34 : x
  2. Step 2: Convert to fraction form
    60,096.94/129,830.34 = 129,830.34/x
  3. Step 3: Cross multiply
    60,096.94x = 129,830.34 × 129,830.34
  4. Step 4: Simplify right side
    60,096.94x = 16,855,918,158.24
  5. Step 5: Solve for x
    x = 16,855,918,158.24/60,096.94
  6. Step 6: Final answer
    x = 280,478.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.