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Finding the Third Proportional to 102,541 and 160,532

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Solution

The third proportional to 102,541 and 160,532 is: 251,319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,541 : 160,532 = 160,532 : x
  2. Step 2: Convert to fraction form
    102,541/160,532 = 160,532/x
  3. Step 3: Cross multiply
    102,541x = 160,532 × 160,532
  4. Step 4: Simplify right side
    102,541x = 25,770,523,024
  5. Step 5: Solve for x
    x = 25,770,523,024/102,541
  6. Step 6: Final answer
    x = 251,319.21

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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.