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Finding the Third Proportional to 45,870.50 and 72,979

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Solution

The third proportional to 45,870.50 and 72,979 is: 116,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,870.50 : 72,979 = 72,979 : x
  2. Step 2: Convert to fraction form
    45,870.50/72,979 = 72,979/x
  3. Step 3: Cross multiply
    45,870.50x = 72,979 × 72,979
  4. Step 4: Simplify right side
    45,870.50x = 5,325,934,441
  5. Step 5: Solve for x
    x = 5,325,934,441/45,870.50
  6. Step 6: Final answer
    x = 116,108.05

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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.