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Finding the Third Proportional to 63,603 and 138,139.50

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Solution

The third proportional to 63,603 and 138,139.50 is: 300,025.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,603 : 138,139.50 = 138,139.50 : x
  2. Step 2: Convert to fraction form
    63,603/138,139.50 = 138,139.50/x
  3. Step 3: Cross multiply
    63,603x = 138,139.50 × 138,139.50
  4. Step 4: Simplify right side
    63,603x = 19,082,521,460.25
  5. Step 5: Solve for x
    x = 19,082,521,460.25/63,603
  6. Step 6: Final answer
    x = 300,025.49

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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.