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Finding the Third Proportional to 63,087 and 137,982

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Solution

The third proportional to 63,087 and 137,982 is: 301,790.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,087 : 137,982 = 137,982 : x
  2. Step 2: Convert to fraction form
    63,087/137,982 = 137,982/x
  3. Step 3: Cross multiply
    63,087x = 137,982 × 137,982
  4. Step 4: Simplify right side
    63,087x = 19,039,032,324
  5. Step 5: Solve for x
    x = 19,039,032,324/63,087
  6. Step 6: Final answer
    x = 301,790.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.