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Finding the Third Proportional to 64,335 and 137,166

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Solution

The third proportional to 64,335 and 137,166 is: 292,445.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,335 : 137,166 = 137,166 : x
  2. Step 2: Convert to fraction form
    64,335/137,166 = 137,166/x
  3. Step 3: Cross multiply
    64,335x = 137,166 × 137,166
  4. Step 4: Simplify right side
    64,335x = 18,814,511,556
  5. Step 5: Solve for x
    x = 18,814,511,556/64,335
  6. Step 6: Final answer
    x = 292,445.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.