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Finding the Third Proportional to 92,152 and 138,580

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Solution

The third proportional to 92,152 and 138,580 is: 208,399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,152 : 138,580 = 138,580 : x
  2. Step 2: Convert to fraction form
    92,152/138,580 = 138,580/x
  3. Step 3: Cross multiply
    92,152x = 138,580 × 138,580
  4. Step 4: Simplify right side
    92,152x = 19,204,416,400
  5. Step 5: Solve for x
    x = 19,204,416,400/92,152
  6. Step 6: Final answer
    x = 208,399.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.