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Finding the Third Proportional to 40,088.25 and 86,600.25

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Solution

The third proportional to 40,088.25 and 86,600.25 is: 187,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,088.25 : 86,600.25 = 86,600.25 : x
  2. Step 2: Convert to fraction form
    40,088.25/86,600.25 = 86,600.25/x
  3. Step 3: Cross multiply
    40,088.25x = 86,600.25 × 86,600.25
  4. Step 4: Simplify right side
    40,088.25x = 7,499,603,300.06
  5. Step 5: Solve for x
    x = 7,499,603,300.06/40,088.25
  6. Step 6: Final answer
    x = 187,077.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.