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Finding the Third Proportional to 74,096 and 153,376

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Solution

The third proportional to 74,096 and 153,376 is: 317,482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,096 : 153,376 = 153,376 : x
  2. Step 2: Convert to fraction form
    74,096/153,376 = 153,376/x
  3. Step 3: Cross multiply
    74,096x = 153,376 × 153,376
  4. Step 4: Simplify right side
    74,096x = 23,524,197,376
  5. Step 5: Solve for x
    x = 23,524,197,376/74,096
  6. Step 6: Final answer
    x = 317,482.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.