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Finding the Third Proportional to 64,210 and 138,302

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Solution

The third proportional to 64,210 and 138,302 is: 297,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,210 : 138,302 = 138,302 : x
  2. Step 2: Convert to fraction form
    64,210/138,302 = 138,302/x
  3. Step 3: Cross multiply
    64,210x = 138,302 × 138,302
  4. Step 4: Simplify right side
    64,210x = 19,127,443,204
  5. Step 5: Solve for x
    x = 19,127,443,204/64,210
  6. Step 6: Final answer
    x = 297,888.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.