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Finding the Third Proportional to 105,121.50 and 163,219.50

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Solution

The third proportional to 105,121.50 and 163,219.50 is: 253,426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,121.50 : 163,219.50 = 163,219.50 : x
  2. Step 2: Convert to fraction form
    105,121.50/163,219.50 = 163,219.50/x
  3. Step 3: Cross multiply
    105,121.50x = 163,219.50 × 163,219.50
  4. Step 4: Simplify right side
    105,121.50x = 26,640,605,180.25
  5. Step 5: Solve for x
    x = 26,640,605,180.25/105,121.50
  6. Step 6: Final answer
    x = 253,426.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.