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Finding the Third Proportional to 63,859 and 93,932.50

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Solution

The third proportional to 63,859 and 93,932.50 is: 138,168.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,859 : 93,932.50 = 93,932.50 : x
  2. Step 2: Convert to fraction form
    63,859/93,932.50 = 93,932.50/x
  3. Step 3: Cross multiply
    63,859x = 93,932.50 × 93,932.50
  4. Step 4: Simplify right side
    63,859x = 8,823,314,556.25
  5. Step 5: Solve for x
    x = 8,823,314,556.25/63,859
  6. Step 6: Final answer
    x = 138,168.69

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.