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Finding the Third Proportional to 60,130.69 and 80,992.13

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Solution

The third proportional to 60,130.69 and 80,992.13 is: 109,091.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,130.69 : 80,992.13 = 80,992.13 : x
  2. Step 2: Convert to fraction form
    60,130.69/80,992.13 = 80,992.13/x
  3. Step 3: Cross multiply
    60,130.69x = 80,992.13 × 80,992.13
  4. Step 4: Simplify right side
    60,130.69x = 6,559,724,312.02
  5. Step 5: Solve for x
    x = 6,559,724,312.02/60,130.69
  6. Step 6: Final answer
    x = 109,091.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.