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Finding the Third Proportional to 72,482.25 and 147,013.50

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Solution

The third proportional to 72,482.25 and 147,013.50 is: 298,182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,482.25 : 147,013.50 = 147,013.50 : x
  2. Step 2: Convert to fraction form
    72,482.25/147,013.50 = 147,013.50/x
  3. Step 3: Cross multiply
    72,482.25x = 147,013.50 × 147,013.50
  4. Step 4: Simplify right side
    72,482.25x = 21,612,969,182.25
  5. Step 5: Solve for x
    x = 21,612,969,182.25/72,482.25
  6. Step 6: Final answer
    x = 298,182.92

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.