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Finding the Third Proportional to 136,074 and 216,140

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Solution

The third proportional to 136,074 and 216,140 is: 343,316.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,074 : 216,140 = 216,140 : x
  2. Step 2: Convert to fraction form
    136,074/216,140 = 216,140/x
  3. Step 3: Cross multiply
    136,074x = 216,140 × 216,140
  4. Step 4: Simplify right side
    136,074x = 46,716,499,600
  5. Step 5: Solve for x
    x = 46,716,499,600/136,074
  6. Step 6: Final answer
    x = 343,316.87

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.