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Finding the Third Proportional to 49,241 and 71,709

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Solution

The third proportional to 49,241 and 71,709 is: 104,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,241 : 71,709 = 71,709 : x
  2. Step 2: Convert to fraction form
    49,241/71,709 = 71,709/x
  3. Step 3: Cross multiply
    49,241x = 71,709 × 71,709
  4. Step 4: Simplify right side
    49,241x = 5,142,180,681
  5. Step 5: Solve for x
    x = 5,142,180,681/49,241
  6. Step 6: Final answer
    x = 104,428.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.