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Finding the Third Proportional to 131,549.06 and 205,023.66

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Solution

The third proportional to 131,549.06 and 205,023.66 is: 319,536.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,549.06 : 205,023.66 = 205,023.66 : x
  2. Step 2: Convert to fraction form
    131,549.06/205,023.66 = 205,023.66/x
  3. Step 3: Cross multiply
    131,549.06x = 205,023.66 × 205,023.66
  4. Step 4: Simplify right side
    131,549.06x = 42,034,699,622.12
  5. Step 5: Solve for x
    x = 42,034,699,622.12/131,549.06
  6. Step 6: Final answer
    x = 319,536.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.