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Finding the Third Proportional to 63,663.50 and 138,740

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Solution

The third proportional to 63,663.50 and 138,740 is: 302,352.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,663.50 : 138,740 = 138,740 : x
  2. Step 2: Convert to fraction form
    63,663.50/138,740 = 138,740/x
  3. Step 3: Cross multiply
    63,663.50x = 138,740 × 138,740
  4. Step 4: Simplify right side
    63,663.50x = 19,248,787,600
  5. Step 5: Solve for x
    x = 19,248,787,600/63,663.50
  6. Step 6: Final answer
    x = 302,352.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.