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Finding the Third Proportional to 40,206 and 63,721.50

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Solution

The third proportional to 40,206 and 63,721.50 is: 100,990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,206 : 63,721.50 = 63,721.50 : x
  2. Step 2: Convert to fraction form
    40,206/63,721.50 = 63,721.50/x
  3. Step 3: Cross multiply
    40,206x = 63,721.50 × 63,721.50
  4. Step 4: Simplify right side
    40,206x = 4,060,429,562.25
  5. Step 5: Solve for x
    x = 4,060,429,562.25/40,206
  6. Step 6: Final answer
    x = 100,990.64

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.