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Finding the Third Proportional to 86,792.34 and 130,187.25

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Solution

The third proportional to 86,792.34 and 130,187.25 is: 195,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,792.34 : 130,187.25 = 130,187.25 : x
  2. Step 2: Convert to fraction form
    86,792.34/130,187.25 = 130,187.25/x
  3. Step 3: Cross multiply
    86,792.34x = 130,187.25 × 130,187.25
  4. Step 4: Simplify right side
    86,792.34x = 16,948,720,062.56
  5. Step 5: Solve for x
    x = 16,948,720,062.56/86,792.34
  6. Step 6: Final answer
    x = 195,278.98

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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.