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Finding the Third Proportional to 73,746 and 159,979.50

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Solution

The third proportional to 73,746 and 159,979.50 is: 347,048.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,746 : 159,979.50 = 159,979.50 : x
  2. Step 2: Convert to fraction form
    73,746/159,979.50 = 159,979.50/x
  3. Step 3: Cross multiply
    73,746x = 159,979.50 × 159,979.50
  4. Step 4: Simplify right side
    73,746x = 25,593,440,420.25
  5. Step 5: Solve for x
    x = 25,593,440,420.25/73,746
  6. Step 6: Final answer
    x = 347,048.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.