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Finding the Third Proportional to 68,042 and 147,037

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Solution

The third proportional to 68,042 and 147,037 is: 317,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,042 : 147,037 = 147,037 : x
  2. Step 2: Convert to fraction form
    68,042/147,037 = 147,037/x
  3. Step 3: Cross multiply
    68,042x = 147,037 × 147,037
  4. Step 4: Simplify right side
    68,042x = 21,619,879,369
  5. Step 5: Solve for x
    x = 21,619,879,369/68,042
  6. Step 6: Final answer
    x = 317,743.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.