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Finding the Third Proportional to 64,888 and 138,140

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Solution

The third proportional to 64,888 and 138,140 is: 294,086.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,888 : 138,140 = 138,140 : x
  2. Step 2: Convert to fraction form
    64,888/138,140 = 138,140/x
  3. Step 3: Cross multiply
    64,888x = 138,140 × 138,140
  4. Step 4: Simplify right side
    64,888x = 19,082,659,600
  5. Step 5: Solve for x
    x = 19,082,659,600/64,888
  6. Step 6: Final answer
    x = 294,086.11

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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.