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Finding the Third Proportional to 101,776 and 146,808

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Solution

The third proportional to 101,776 and 146,808 is: 211,764.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,776 : 146,808 = 146,808 : x
  2. Step 2: Convert to fraction form
    101,776/146,808 = 146,808/x
  3. Step 3: Cross multiply
    101,776x = 146,808 × 146,808
  4. Step 4: Simplify right side
    101,776x = 21,552,588,864
  5. Step 5: Solve for x
    x = 21,552,588,864/101,776
  6. Step 6: Final answer
    x = 211,764.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.