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Finding the Third Proportional to 102,533 and 160,520

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Solution

The third proportional to 102,533 and 160,520 is: 251,301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,533 : 160,520 = 160,520 : x
  2. Step 2: Convert to fraction form
    102,533/160,520 = 160,520/x
  3. Step 3: Cross multiply
    102,533x = 160,520 × 160,520
  4. Step 4: Simplify right side
    102,533x = 25,766,670,400
  5. Step 5: Solve for x
    x = 25,766,670,400/102,533
  6. Step 6: Final answer
    x = 251,301.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.