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Finding the Third Proportional to 136,101.75 and 310,449.75

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Solution

The third proportional to 136,101.75 and 310,449.75 is: 708,139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,101.75 : 310,449.75 = 310,449.75 : x
  2. Step 2: Convert to fraction form
    136,101.75/310,449.75 = 310,449.75/x
  3. Step 3: Cross multiply
    136,101.75x = 310,449.75 × 310,449.75
  4. Step 4: Simplify right side
    136,101.75x = 96,379,047,275.06
  5. Step 5: Solve for x
    x = 96,379,047,275.06/136,101.75
  6. Step 6: Final answer
    x = 708,139.66

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These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.