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Finding the Third Proportional to 122,077.13 and 267,117.75

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Solution

The third proportional to 122,077.13 and 267,117.75 is: 584,482.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,077.13 : 267,117.75 = 267,117.75 : x
  2. Step 2: Convert to fraction form
    122,077.13/267,117.75 = 267,117.75/x
  3. Step 3: Cross multiply
    122,077.13x = 267,117.75 × 267,117.75
  4. Step 4: Simplify right side
    122,077.13x = 71,351,892,365.06
  5. Step 5: Solve for x
    x = 71,351,892,365.06/122,077.13
  6. Step 6: Final answer
    x = 584,482.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.