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Finding the Third Proportional to 103,737.50 and 160,210.50

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Solution

The third proportional to 103,737.50 and 160,210.50 is: 247,426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,737.50 : 160,210.50 = 160,210.50 : x
  2. Step 2: Convert to fraction form
    103,737.50/160,210.50 = 160,210.50/x
  3. Step 3: Cross multiply
    103,737.50x = 160,210.50 × 160,210.50
  4. Step 4: Simplify right side
    103,737.50x = 25,667,404,310.25
  5. Step 5: Solve for x
    x = 25,667,404,310.25/103,737.50
  6. Step 6: Final answer
    x = 247,426.48

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.