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Finding the Third Proportional to 86,574.75 and 130,112.63

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Solution

The third proportional to 86,574.75 and 130,112.63 is: 195,545.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,574.75 : 130,112.63 = 130,112.63 : x
  2. Step 2: Convert to fraction form
    86,574.75/130,112.63 = 130,112.63/x
  3. Step 3: Cross multiply
    86,574.75x = 130,112.63 × 130,112.63
  4. Step 4: Simplify right side
    86,574.75x = 16,929,295,184.39
  5. Step 5: Solve for x
    x = 16,929,295,184.39/86,574.75
  6. Step 6: Final answer
    x = 195,545.41

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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.