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Finding the Third Proportional to 103,621.94 and 164,776.78

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Solution

The third proportional to 103,621.94 and 164,776.78 is: 262,023.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,621.94 : 164,776.78 = 164,776.78 : x
  2. Step 2: Convert to fraction form
    103,621.94/164,776.78 = 164,776.78/x
  3. Step 3: Cross multiply
    103,621.94x = 164,776.78 × 164,776.78
  4. Step 4: Simplify right side
    103,621.94x = 27,151,387,639.11
  5. Step 5: Solve for x
    x = 27,151,387,639.11/103,621.94
  6. Step 6: Final answer
    x = 262,023.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.