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Finding the Third Proportional to 63,137 and 140,287.50

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Solution

The third proportional to 63,137 and 140,287.50 is: 311,712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,137 : 140,287.50 = 140,287.50 : x
  2. Step 2: Convert to fraction form
    63,137/140,287.50 = 140,287.50/x
  3. Step 3: Cross multiply
    63,137x = 140,287.50 × 140,287.50
  4. Step 4: Simplify right side
    63,137x = 19,680,582,656.25
  5. Step 5: Solve for x
    x = 19,680,582,656.25/63,137
  6. Step 6: Final answer
    x = 311,712.35

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.