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Finding the Third Proportional to 64,016 and 96,908.50

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Solution

The third proportional to 64,016 and 96,908.50 is: 146,701.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,016 : 96,908.50 = 96,908.50 : x
  2. Step 2: Convert to fraction form
    64,016/96,908.50 = 96,908.50/x
  3. Step 3: Cross multiply
    64,016x = 96,908.50 × 96,908.50
  4. Step 4: Simplify right side
    64,016x = 9,391,257,372.25
  5. Step 5: Solve for x
    x = 9,391,257,372.25/64,016
  6. Step 6: Final answer
    x = 146,701.72

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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.