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Finding the Third Proportional to 63,097 and 138,996

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Solution

The third proportional to 63,097 and 138,996 is: 306,193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,097 : 138,996 = 138,996 : x
  2. Step 2: Convert to fraction form
    63,097/138,996 = 138,996/x
  3. Step 3: Cross multiply
    63,097x = 138,996 × 138,996
  4. Step 4: Simplify right side
    63,097x = 19,319,888,016
  5. Step 5: Solve for x
    x = 19,319,888,016/63,097
  6. Step 6: Final answer
    x = 306,193.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.