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Finding the Third Proportional to 64,196 and 96,118

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Solution

The third proportional to 64,196 and 96,118 is: 143,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,196 : 96,118 = 96,118 : x
  2. Step 2: Convert to fraction form
    64,196/96,118 = 96,118/x
  3. Step 3: Cross multiply
    64,196x = 96,118 × 96,118
  4. Step 4: Simplify right side
    64,196x = 9,238,669,924
  5. Step 5: Solve for x
    x = 9,238,669,924/64,196
  6. Step 6: Final answer
    x = 143,913.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.