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Finding the Third Proportional to 86,703 and 127,252.50

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Solution

The third proportional to 86,703 and 127,252.50 is: 186,766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,703 : 127,252.50 = 127,252.50 : x
  2. Step 2: Convert to fraction form
    86,703/127,252.50 = 127,252.50/x
  3. Step 3: Cross multiply
    86,703x = 127,252.50 × 127,252.50
  4. Step 4: Simplify right side
    86,703x = 16,193,198,756.25
  5. Step 5: Solve for x
    x = 16,193,198,756.25/86,703
  6. Step 6: Final answer
    x = 186,766.30

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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.