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Finding the Third Proportional to 91,060 and 185,733

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Solution

The third proportional to 91,060 and 185,733 is: 378,835.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,060 : 185,733 = 185,733 : x
  2. Step 2: Convert to fraction form
    91,060/185,733 = 185,733/x
  3. Step 3: Cross multiply
    91,060x = 185,733 × 185,733
  4. Step 4: Simplify right side
    91,060x = 34,496,747,289
  5. Step 5: Solve for x
    x = 34,496,747,289/91,060
  6. Step 6: Final answer
    x = 378,835.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.