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Finding the Third Proportional to 64,197 and 93,918

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Solution

The third proportional to 64,197 and 93,918 is: 137,398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,197 : 93,918 = 93,918 : x
  2. Step 2: Convert to fraction form
    64,197/93,918 = 93,918/x
  3. Step 3: Cross multiply
    64,197x = 93,918 × 93,918
  4. Step 4: Simplify right side
    64,197x = 8,820,590,724
  5. Step 5: Solve for x
    x = 8,820,590,724/64,197
  6. Step 6: Final answer
    x = 137,398.80

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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.