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Finding the Third Proportional to 85,650 and 130,497

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Solution

The third proportional to 85,650 and 130,497 is: 198,826.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,650 : 130,497 = 130,497 : x
  2. Step 2: Convert to fraction form
    85,650/130,497 = 130,497/x
  3. Step 3: Cross multiply
    85,650x = 130,497 × 130,497
  4. Step 4: Simplify right side
    85,650x = 17,029,467,009
  5. Step 5: Solve for x
    x = 17,029,467,009/85,650
  6. Step 6: Final answer
    x = 198,826.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.