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Finding the Third Proportional to 68,338.13 and 143,586

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Solution

The third proportional to 68,338.13 and 143,586 is: 301,690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,338.13 : 143,586 = 143,586 : x
  2. Step 2: Convert to fraction form
    68,338.13/143,586 = 143,586/x
  3. Step 3: Cross multiply
    68,338.13x = 143,586 × 143,586
  4. Step 4: Simplify right side
    68,338.13x = 20,616,939,396
  5. Step 5: Solve for x
    x = 20,616,939,396/68,338.13
  6. Step 6: Final answer
    x = 301,690.15

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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.