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Finding the Third Proportional to 64,226 and 137,308

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Solution

The third proportional to 64,226 and 137,308 is: 293,549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,226 : 137,308 = 137,308 : x
  2. Step 2: Convert to fraction form
    64,226/137,308 = 137,308/x
  3. Step 3: Cross multiply
    64,226x = 137,308 × 137,308
  4. Step 4: Simplify right side
    64,226x = 18,853,486,864
  5. Step 5: Solve for x
    x = 18,853,486,864/64,226
  6. Step 6: Final answer
    x = 293,549.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.