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Finding the Third Proportional to 85,267.69 and 130,501.13

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Solution

The third proportional to 85,267.69 and 130,501.13 is: 199,730.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,267.69 : 130,501.13 = 130,501.13 : x
  2. Step 2: Convert to fraction form
    85,267.69/130,501.13 = 130,501.13/x
  3. Step 3: Cross multiply
    85,267.69x = 130,501.13 × 130,501.13
  4. Step 4: Simplify right side
    85,267.69x = 17,030,543,626.27
  5. Step 5: Solve for x
    x = 17,030,543,626.27/85,267.69
  6. Step 6: Final answer
    x = 199,730.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.