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Finding the Third Proportional to 43,394 and 69,459

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Solution

The third proportional to 43,394 and 69,459 is: 111,180.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,394 : 69,459 = 69,459 : x
  2. Step 2: Convert to fraction form
    43,394/69,459 = 69,459/x
  3. Step 3: Cross multiply
    43,394x = 69,459 × 69,459
  4. Step 4: Simplify right side
    43,394x = 4,824,552,681
  5. Step 5: Solve for x
    x = 4,824,552,681/43,394
  6. Step 6: Final answer
    x = 111,180.18

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.