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Finding the Third Proportional to 64,666 and 141,356

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Solution

The third proportional to 64,666 and 141,356 is: 308,995.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,666 : 141,356 = 141,356 : x
  2. Step 2: Convert to fraction form
    64,666/141,356 = 141,356/x
  3. Step 3: Cross multiply
    64,666x = 141,356 × 141,356
  4. Step 4: Simplify right side
    64,666x = 19,981,518,736
  5. Step 5: Solve for x
    x = 19,981,518,736/64,666
  6. Step 6: Final answer
    x = 308,995.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.