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Finding the Third Proportional to 39,184 and 70,588

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Solution

The third proportional to 39,184 and 70,588 is: 127,160.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,184 : 70,588 = 70,588 : x
  2. Step 2: Convert to fraction form
    39,184/70,588 = 70,588/x
  3. Step 3: Cross multiply
    39,184x = 70,588 × 70,588
  4. Step 4: Simplify right side
    39,184x = 4,982,665,744
  5. Step 5: Solve for x
    x = 4,982,665,744/39,184
  6. Step 6: Final answer
    x = 127,160.72

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.