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Finding the Third Proportional to 68,484 and 108,666

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Solution

The third proportional to 68,484 and 108,666 is: 172,424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,484 : 108,666 = 108,666 : x
  2. Step 2: Convert to fraction form
    68,484/108,666 = 108,666/x
  3. Step 3: Cross multiply
    68,484x = 108,666 × 108,666
  4. Step 4: Simplify right side
    68,484x = 11,808,299,556
  5. Step 5: Solve for x
    x = 11,808,299,556/68,484
  6. Step 6: Final answer
    x = 172,424.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.