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Finding the Third Proportional to 102,600 and 154,576

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Solution

The third proportional to 102,600 and 154,576 is: 232,882.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,600 : 154,576 = 154,576 : x
  2. Step 2: Convert to fraction form
    102,600/154,576 = 154,576/x
  3. Step 3: Cross multiply
    102,600x = 154,576 × 154,576
  4. Step 4: Simplify right side
    102,600x = 23,893,739,776
  5. Step 5: Solve for x
    x = 23,893,739,776/102,600
  6. Step 6: Final answer
    x = 232,882.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.