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Finding the Third Proportional to 70,058 and 96,337

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Solution

The third proportional to 70,058 and 96,337 is: 132,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,058 : 96,337 = 96,337 : x
  2. Step 2: Convert to fraction form
    70,058/96,337 = 96,337/x
  3. Step 3: Cross multiply
    70,058x = 96,337 × 96,337
  4. Step 4: Simplify right side
    70,058x = 9,280,817,569
  5. Step 5: Solve for x
    x = 9,280,817,569/70,058
  6. Step 6: Final answer
    x = 132,473.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.