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Finding the Third Proportional to 72,482 and 108,386

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Solution

The third proportional to 72,482 and 108,386 is: 162,075.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,482 : 108,386 = 108,386 : x
  2. Step 2: Convert to fraction form
    72,482/108,386 = 108,386/x
  3. Step 3: Cross multiply
    72,482x = 108,386 × 108,386
  4. Step 4: Simplify right side
    72,482x = 11,747,524,996
  5. Step 5: Solve for x
    x = 11,747,524,996/72,482
  6. Step 6: Final answer
    x = 162,075.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.