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Finding the Third Proportional to 68,337 and 143,585

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Solution

The third proportional to 68,337 and 143,585 is: 301,690.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,337 : 143,585 = 143,585 : x
  2. Step 2: Convert to fraction form
    68,337/143,585 = 143,585/x
  3. Step 3: Cross multiply
    68,337x = 143,585 × 143,585
  4. Step 4: Simplify right side
    68,337x = 20,616,652,225
  5. Step 5: Solve for x
    x = 20,616,652,225/68,337
  6. Step 6: Final answer
    x = 301,690.92

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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.