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Finding the Third Proportional to 89,976 and 193,776

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Solution

The third proportional to 89,976 and 193,776 is: 417,323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,976 : 193,776 = 193,776 : x
  2. Step 2: Convert to fraction form
    89,976/193,776 = 193,776/x
  3. Step 3: Cross multiply
    89,976x = 193,776 × 193,776
  4. Step 4: Simplify right side
    89,976x = 37,549,138,176
  5. Step 5: Solve for x
    x = 37,549,138,176/89,976
  6. Step 6: Final answer
    x = 417,323.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.