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Finding the Third Proportional to 74,496 and 152,271

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Solution

The third proportional to 74,496 and 152,271 is: 311,244.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,496 : 152,271 = 152,271 : x
  2. Step 2: Convert to fraction form
    74,496/152,271 = 152,271/x
  3. Step 3: Cross multiply
    74,496x = 152,271 × 152,271
  4. Step 4: Simplify right side
    74,496x = 23,186,457,441
  5. Step 5: Solve for x
    x = 23,186,457,441/74,496
  6. Step 6: Final answer
    x = 311,244.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.