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Finding the Third Proportional to 104,968 and 153,548

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Solution

The third proportional to 104,968 and 153,548 is: 224,611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,968 : 153,548 = 153,548 : x
  2. Step 2: Convert to fraction form
    104,968/153,548 = 153,548/x
  3. Step 3: Cross multiply
    104,968x = 153,548 × 153,548
  4. Step 4: Simplify right side
    104,968x = 23,576,988,304
  5. Step 5: Solve for x
    x = 23,576,988,304/104,968
  6. Step 6: Final answer
    x = 224,611.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.