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Finding the Third Proportional to 63,476 and 137,887

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Solution

The third proportional to 63,476 and 137,887 is: 299,527.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,476 : 137,887 = 137,887 : x
  2. Step 2: Convert to fraction form
    63,476/137,887 = 137,887/x
  3. Step 3: Cross multiply
    63,476x = 137,887 × 137,887
  4. Step 4: Simplify right side
    63,476x = 19,012,824,769
  5. Step 5: Solve for x
    x = 19,012,824,769/63,476
  6. Step 6: Final answer
    x = 299,527.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.