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Finding the Third Proportional to 128,068 and 205,770.50

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Solution

The third proportional to 128,068 and 205,770.50 is: 330,617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,068 : 205,770.50 = 205,770.50 : x
  2. Step 2: Convert to fraction form
    128,068/205,770.50 = 205,770.50/x
  3. Step 3: Cross multiply
    128,068x = 205,770.50 × 205,770.50
  4. Step 4: Simplify right side
    128,068x = 42,341,498,670.25
  5. Step 5: Solve for x
    x = 42,341,498,670.25/128,068
  6. Step 6: Final answer
    x = 330,617.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.