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Finding the Third Proportional to 63,905 and 137,026

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Solution

The third proportional to 63,905 and 137,026 is: 293,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,905 : 137,026 = 137,026 : x
  2. Step 2: Convert to fraction form
    63,905/137,026 = 137,026/x
  3. Step 3: Cross multiply
    63,905x = 137,026 × 137,026
  4. Step 4: Simplify right side
    63,905x = 18,776,124,676
  5. Step 5: Solve for x
    x = 18,776,124,676/63,905
  6. Step 6: Final answer
    x = 293,813.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.