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Finding the Third Proportional to 129,027 and 205,444.50

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Solution

The third proportional to 129,027 and 205,444.50 is: 327,121.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,027 : 205,444.50 = 205,444.50 : x
  2. Step 2: Convert to fraction form
    129,027/205,444.50 = 205,444.50/x
  3. Step 3: Cross multiply
    129,027x = 205,444.50 × 205,444.50
  4. Step 4: Simplify right side
    129,027x = 42,207,442,580.25
  5. Step 5: Solve for x
    x = 42,207,442,580.25/129,027
  6. Step 6: Final answer
    x = 327,121.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.