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Finding the Third Proportional to 68,374 and 143,658

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Solution

The third proportional to 68,374 and 143,658 is: 301,834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,374 : 143,658 = 143,658 : x
  2. Step 2: Convert to fraction form
    68,374/143,658 = 143,658/x
  3. Step 3: Cross multiply
    68,374x = 143,658 × 143,658
  4. Step 4: Simplify right side
    68,374x = 20,637,620,964
  5. Step 5: Solve for x
    x = 20,637,620,964/68,374
  6. Step 6: Final answer
    x = 301,834.34

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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.