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Finding the Third Proportional to 63,316.21 and 137,877.11

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Solution

The third proportional to 63,316.21 and 137,877.11 is: 300,240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,316.21 : 137,877.11 = 137,877.11 : x
  2. Step 2: Convert to fraction form
    63,316.21/137,877.11 = 137,877.11/x
  3. Step 3: Cross multiply
    63,316.21x = 137,877.11 × 137,877.11
  4. Step 4: Simplify right side
    63,316.21x = 19,010,097,020.32
  5. Step 5: Solve for x
    x = 19,010,097,020.32/63,316.21
  6. Step 6: Final answer
    x = 300,240.59

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Why These Related Problems?

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