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Finding the Third Proportional to 63,705 and 137,323

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Solution

The third proportional to 63,705 and 137,323 is: 296,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,705 : 137,323 = 137,323 : x
  2. Step 2: Convert to fraction form
    63,705/137,323 = 137,323/x
  3. Step 3: Cross multiply
    63,705x = 137,323 × 137,323
  4. Step 4: Simplify right side
    63,705x = 18,857,606,329
  5. Step 5: Solve for x
    x = 18,857,606,329/63,705
  6. Step 6: Final answer
    x = 296,014.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.