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Finding the Third Proportional to 86,122.50 and 126,632.25

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Solution

The third proportional to 86,122.50 and 126,632.25 is: 186,196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,122.50 : 126,632.25 = 126,632.25 : x
  2. Step 2: Convert to fraction form
    86,122.50/126,632.25 = 126,632.25/x
  3. Step 3: Cross multiply
    86,122.50x = 126,632.25 × 126,632.25
  4. Step 4: Simplify right side
    86,122.50x = 16,035,726,740.06
  5. Step 5: Solve for x
    x = 16,035,726,740.06/86,122.50
  6. Step 6: Final answer
    x = 186,196.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.