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Finding the Third Proportional to 72,414 and 151,750.13

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Solution

The third proportional to 72,414 and 151,750.13 is: 318,006.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,414 : 151,750.13 = 151,750.13 : x
  2. Step 2: Convert to fraction form
    72,414/151,750.13 = 151,750.13/x
  3. Step 3: Cross multiply
    72,414x = 151,750.13 × 151,750.13
  4. Step 4: Simplify right side
    72,414x = 23,028,100,437.52
  5. Step 5: Solve for x
    x = 23,028,100,437.52/72,414
  6. Step 6: Final answer
    x = 318,006.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.