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Finding the Third Proportional to 86,514.75 and 130,925.53

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Solution

The third proportional to 86,514.75 and 130,925.53 is: 198,133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,514.75 : 130,925.53 = 130,925.53 : x
  2. Step 2: Convert to fraction form
    86,514.75/130,925.53 = 130,925.53/x
  3. Step 3: Cross multiply
    86,514.75x = 130,925.53 × 130,925.53
  4. Step 4: Simplify right side
    86,514.75x = 17,141,494,733.09
  5. Step 5: Solve for x
    x = 17,141,494,733.09/86,514.75
  6. Step 6: Final answer
    x = 198,133.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.