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Finding the Third Proportional to 72,930 and 119,086.50

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Solution

The third proportional to 72,930 and 119,086.50 is: 194,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,930 : 119,086.50 = 119,086.50 : x
  2. Step 2: Convert to fraction form
    72,930/119,086.50 = 119,086.50/x
  3. Step 3: Cross multiply
    72,930x = 119,086.50 × 119,086.50
  4. Step 4: Simplify right side
    72,930x = 14,181,594,482.25
  5. Step 5: Solve for x
    x = 14,181,594,482.25/72,930
  6. Step 6: Final answer
    x = 194,454.88

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.