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Finding the Third Proportional to 63,810 and 138,789

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Solution

The third proportional to 63,810 and 138,789 is: 301,870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,810 : 138,789 = 138,789 : x
  2. Step 2: Convert to fraction form
    63,810/138,789 = 138,789/x
  3. Step 3: Cross multiply
    63,810x = 138,789 × 138,789
  4. Step 4: Simplify right side
    63,810x = 19,262,386,521
  5. Step 5: Solve for x
    x = 19,262,386,521/63,810
  6. Step 6: Final answer
    x = 301,870.97

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