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Finding the Third Proportional to 129,957 and 206,764.50

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Solution

The third proportional to 129,957 and 206,764.50 is: 328,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,957 : 206,764.50 = 206,764.50 : x
  2. Step 2: Convert to fraction form
    129,957/206,764.50 = 206,764.50/x
  3. Step 3: Cross multiply
    129,957x = 206,764.50 × 206,764.50
  4. Step 4: Simplify right side
    129,957x = 42,751,558,460.25
  5. Step 5: Solve for x
    x = 42,751,558,460.25/129,957
  6. Step 6: Final answer
    x = 328,966.95

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