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Finding the Third Proportional to 56,946.75 and 84,949.50

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Solution

The third proportional to 56,946.75 and 84,949.50 is: 126,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,946.75 : 84,949.50 = 84,949.50 : x
  2. Step 2: Convert to fraction form
    56,946.75/84,949.50 = 84,949.50/x
  3. Step 3: Cross multiply
    56,946.75x = 84,949.50 × 84,949.50
  4. Step 4: Simplify right side
    56,946.75x = 7,216,417,550.25
  5. Step 5: Solve for x
    x = 7,216,417,550.25/56,946.75
  6. Step 6: Final answer
    x = 126,722.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.