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Finding the Third Proportional to 86,509 and 185,950

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Solution

The third proportional to 86,509 and 185,950 is: 399,697.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,509 : 185,950 = 185,950 : x
  2. Step 2: Convert to fraction form
    86,509/185,950 = 185,950/x
  3. Step 3: Cross multiply
    86,509x = 185,950 × 185,950
  4. Step 4: Simplify right side
    86,509x = 34,577,402,500
  5. Step 5: Solve for x
    x = 34,577,402,500/86,509
  6. Step 6: Final answer
    x = 399,697.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.