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Finding the Third Proportional to 73,410 and 110,803

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Solution

The third proportional to 73,410 and 110,803 is: 167,242.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,410 : 110,803 = 110,803 : x
  2. Step 2: Convert to fraction form
    73,410/110,803 = 110,803/x
  3. Step 3: Cross multiply
    73,410x = 110,803 × 110,803
  4. Step 4: Simplify right side
    73,410x = 12,277,304,809
  5. Step 5: Solve for x
    x = 12,277,304,809/73,410
  6. Step 6: Final answer
    x = 167,242.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.