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Finding the Third Proportional to 63,911 and 96,758

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Solution

The third proportional to 63,911 and 96,758 is: 146,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,911 : 96,758 = 96,758 : x
  2. Step 2: Convert to fraction form
    63,911/96,758 = 96,758/x
  3. Step 3: Cross multiply
    63,911x = 96,758 × 96,758
  4. Step 4: Simplify right side
    63,911x = 9,362,110,564
  5. Step 5: Solve for x
    x = 9,362,110,564/63,911
  6. Step 6: Final answer
    x = 146,486.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.