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Finding the Third Proportional to 86,022 and 126,501.75

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Solution

The third proportional to 86,022 and 126,501.75 is: 186,030.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,022 : 126,501.75 = 126,501.75 : x
  2. Step 2: Convert to fraction form
    86,022/126,501.75 = 126,501.75/x
  3. Step 3: Cross multiply
    86,022x = 126,501.75 × 126,501.75
  4. Step 4: Simplify right side
    86,022x = 16,002,692,753.06
  5. Step 5: Solve for x
    x = 16,002,692,753.06/86,022
  6. Step 6: Final answer
    x = 186,030.23

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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.