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Finding the Third Proportional to 72,110 and 154,180

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Solution

The third proportional to 72,110 and 154,180 is: 329,655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,110 : 154,180 = 154,180 : x
  2. Step 2: Convert to fraction form
    72,110/154,180 = 154,180/x
  3. Step 3: Cross multiply
    72,110x = 154,180 × 154,180
  4. Step 4: Simplify right side
    72,110x = 23,771,472,400
  5. Step 5: Solve for x
    x = 23,771,472,400/72,110
  6. Step 6: Final answer
    x = 329,655.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.