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Finding the Third Proportional to 60,332 and 92,058

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Solution

The third proportional to 60,332 and 92,058 is: 140,467.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,332 : 92,058 = 92,058 : x
  2. Step 2: Convert to fraction form
    60,332/92,058 = 92,058/x
  3. Step 3: Cross multiply
    60,332x = 92,058 × 92,058
  4. Step 4: Simplify right side
    60,332x = 8,474,675,364
  5. Step 5: Solve for x
    x = 8,474,675,364/60,332
  6. Step 6: Final answer
    x = 140,467.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.