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Finding the Third Proportional to 98,956 and 153,476

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Solution

The third proportional to 98,956 and 153,476 is: 238,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,956 : 153,476 = 153,476 : x
  2. Step 2: Convert to fraction form
    98,956/153,476 = 153,476/x
  3. Step 3: Cross multiply
    98,956x = 153,476 × 153,476
  4. Step 4: Simplify right side
    98,956x = 23,554,882,576
  5. Step 5: Solve for x
    x = 23,554,882,576/98,956
  6. Step 6: Final answer
    x = 238,033.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.