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Finding the Third Proportional to 64,802.25 and 105,816.38

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Solution

The third proportional to 64,802.25 and 105,816.38 is: 172,788.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,802.25 : 105,816.38 = 105,816.38 : x
  2. Step 2: Convert to fraction form
    64,802.25/105,816.38 = 105,816.38/x
  3. Step 3: Cross multiply
    64,802.25x = 105,816.38 × 105,816.38
  4. Step 4: Simplify right side
    64,802.25x = 11,197,105,218.14
  5. Step 5: Solve for x
    x = 11,197,105,218.14/64,802.25
  6. Step 6: Final answer
    x = 172,788.83

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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.