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Finding the Third Proportional to 121,086 and 266,050.13

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Solution

The third proportional to 121,086 and 266,050.13 is: 584,565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,086 : 266,050.13 = 266,050.13 : x
  2. Step 2: Convert to fraction form
    121,086/266,050.13 = 266,050.13/x
  3. Step 3: Cross multiply
    121,086x = 266,050.13 × 266,050.13
  4. Step 4: Simplify right side
    121,086x = 70,782,669,012.52
  5. Step 5: Solve for x
    x = 70,782,669,012.52/121,086
  6. Step 6: Final answer
    x = 584,565.26

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.