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Finding the Third Proportional to 64,196 and 93,916

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Solution

The third proportional to 64,196 and 93,916 is: 137,395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,196 : 93,916 = 93,916 : x
  2. Step 2: Convert to fraction form
    64,196/93,916 = 93,916/x
  3. Step 3: Cross multiply
    64,196x = 93,916 × 93,916
  4. Step 4: Simplify right side
    64,196x = 8,820,215,056
  5. Step 5: Solve for x
    x = 8,820,215,056/64,196
  6. Step 6: Final answer
    x = 137,395.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.