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Finding the Third Proportional to 64,668 and 141,363

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Solution

The third proportional to 64,668 and 141,363 is: 309,016.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,668 : 141,363 = 141,363 : x
  2. Step 2: Convert to fraction form
    64,668/141,363 = 141,363/x
  3. Step 3: Cross multiply
    64,668x = 141,363 × 141,363
  4. Step 4: Simplify right side
    64,668x = 19,983,497,769
  5. Step 5: Solve for x
    x = 19,983,497,769/64,668
  6. Step 6: Final answer
    x = 309,016.79

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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.