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Finding the Third Proportional to 63,018 and 138,469.50

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Solution

The third proportional to 63,018 and 138,469.50 is: 304,259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,018 : 138,469.50 = 138,469.50 : x
  2. Step 2: Convert to fraction form
    63,018/138,469.50 = 138,469.50/x
  3. Step 3: Cross multiply
    63,018x = 138,469.50 × 138,469.50
  4. Step 4: Simplify right side
    63,018x = 19,173,802,430.25
  5. Step 5: Solve for x
    x = 19,173,802,430.25/63,018
  6. Step 6: Final answer
    x = 304,259.14

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