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Finding the Third Proportional to 63,472 and 138,230

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Solution

The third proportional to 63,472 and 138,230 is: 301,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,472 : 138,230 = 138,230 : x
  2. Step 2: Convert to fraction form
    63,472/138,230 = 138,230/x
  3. Step 3: Cross multiply
    63,472x = 138,230 × 138,230
  4. Step 4: Simplify right side
    63,472x = 19,107,532,900
  5. Step 5: Solve for x
    x = 19,107,532,900/63,472
  6. Step 6: Final answer
    x = 301,038.77

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Why These Related Problems?

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