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Finding the Third Proportional to 64,310 and 133,471

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Solution

The third proportional to 64,310 and 133,471 is: 277,009.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,310 : 133,471 = 133,471 : x
  2. Step 2: Convert to fraction form
    64,310/133,471 = 133,471/x
  3. Step 3: Cross multiply
    64,310x = 133,471 × 133,471
  4. Step 4: Simplify right side
    64,310x = 17,814,507,841
  5. Step 5: Solve for x
    x = 17,814,507,841/64,310
  6. Step 6: Final answer
    x = 277,009.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.