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Finding the Third Proportional to 103,867 and 169,587.50

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Solution

The third proportional to 103,867 and 169,587.50 is: 276,891.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,867 : 169,587.50 = 169,587.50 : x
  2. Step 2: Convert to fraction form
    103,867/169,587.50 = 169,587.50/x
  3. Step 3: Cross multiply
    103,867x = 169,587.50 × 169,587.50
  4. Step 4: Simplify right side
    103,867x = 28,759,920,156.25
  5. Step 5: Solve for x
    x = 28,759,920,156.25/103,867
  6. Step 6: Final answer
    x = 276,891.80

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.