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Finding the Third Proportional to 110,423 and 175,133

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Solution

The third proportional to 110,423 and 175,133 is: 277,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,423 : 175,133 = 175,133 : x
  2. Step 2: Convert to fraction form
    110,423/175,133 = 175,133/x
  3. Step 3: Cross multiply
    110,423x = 175,133 × 175,133
  4. Step 4: Simplify right side
    110,423x = 30,671,567,689
  5. Step 5: Solve for x
    x = 30,671,567,689/110,423
  6. Step 6: Final answer
    x = 277,764.30

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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.