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Finding the Third Proportional to 64,833 and 105,864

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Solution

The third proportional to 64,833 and 105,864 is: 172,862.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,833 : 105,864 = 105,864 : x
  2. Step 2: Convert to fraction form
    64,833/105,864 = 105,864/x
  3. Step 3: Cross multiply
    64,833x = 105,864 × 105,864
  4. Step 4: Simplify right side
    64,833x = 11,207,186,496
  5. Step 5: Solve for x
    x = 11,207,186,496/64,833
  6. Step 6: Final answer
    x = 172,862.38

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.