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Finding the Third Proportional to 63,464.50 and 137,854

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Solution

The third proportional to 63,464.50 and 137,854 is: 299,438.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,464.50 : 137,854 = 137,854 : x
  2. Step 2: Convert to fraction form
    63,464.50/137,854 = 137,854/x
  3. Step 3: Cross multiply
    63,464.50x = 137,854 × 137,854
  4. Step 4: Simplify right side
    63,464.50x = 19,003,725,316
  5. Step 5: Solve for x
    x = 19,003,725,316/63,464.50
  6. Step 6: Final answer
    x = 299,438.67

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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.