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Finding the Third Proportional to 98,068 and 147,074

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Solution

The third proportional to 98,068 and 147,074 is: 220,569.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,068 : 147,074 = 147,074 : x
  2. Step 2: Convert to fraction form
    98,068/147,074 = 147,074/x
  3. Step 3: Cross multiply
    98,068x = 147,074 × 147,074
  4. Step 4: Simplify right side
    98,068x = 21,630,761,476
  5. Step 5: Solve for x
    x = 21,630,761,476/98,068
  6. Step 6: Final answer
    x = 220,569.01

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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.