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Finding the Third Proportional to 63,405 and 137,377.50

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Solution

The third proportional to 63,405 and 137,377.50 is: 297,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,405 : 137,377.50 = 137,377.50 : x
  2. Step 2: Convert to fraction form
    63,405/137,377.50 = 137,377.50/x
  3. Step 3: Cross multiply
    63,405x = 137,377.50 × 137,377.50
  4. Step 4: Simplify right side
    63,405x = 18,872,577,506.25
  5. Step 5: Solve for x
    x = 18,872,577,506.25/63,405
  6. Step 6: Final answer
    x = 297,651.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.