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Finding the Third Proportional to 74,523 and 115,133

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Solution

The third proportional to 74,523 and 115,133 is: 177,872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,523 : 115,133 = 115,133 : x
  2. Step 2: Convert to fraction form
    74,523/115,133 = 115,133/x
  3. Step 3: Cross multiply
    74,523x = 115,133 × 115,133
  4. Step 4: Simplify right side
    74,523x = 13,255,607,689
  5. Step 5: Solve for x
    x = 13,255,607,689/74,523
  6. Step 6: Final answer
    x = 177,872.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.