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Finding the Third Proportional to 86,013.50 and 126,491

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Solution

The third proportional to 86,013.50 and 126,491 is: 186,017.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,013.50 : 126,491 = 126,491 : x
  2. Step 2: Convert to fraction form
    86,013.50/126,491 = 126,491/x
  3. Step 3: Cross multiply
    86,013.50x = 126,491 × 126,491
  4. Step 4: Simplify right side
    86,013.50x = 15,999,973,081
  5. Step 5: Solve for x
    x = 15,999,973,081/86,013.50
  6. Step 6: Final answer
    x = 186,017.00

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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.