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Finding the Third Proportional to 63,004 and 101,514

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Solution

The third proportional to 63,004 and 101,514 is: 163,562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,004 : 101,514 = 101,514 : x
  2. Step 2: Convert to fraction form
    63,004/101,514 = 101,514/x
  3. Step 3: Cross multiply
    63,004x = 101,514 × 101,514
  4. Step 4: Simplify right side
    63,004x = 10,305,092,196
  5. Step 5: Solve for x
    x = 10,305,092,196/63,004
  6. Step 6: Final answer
    x = 163,562.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.