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Finding the Third Proportional to 102,572 and 155,231

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Solution

The third proportional to 102,572 and 155,231 is: 234,924.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,572 : 155,231 = 155,231 : x
  2. Step 2: Convert to fraction form
    102,572/155,231 = 155,231/x
  3. Step 3: Cross multiply
    102,572x = 155,231 × 155,231
  4. Step 4: Simplify right side
    102,572x = 24,096,663,361
  5. Step 5: Solve for x
    x = 24,096,663,361/102,572
  6. Step 6: Final answer
    x = 234,924.38

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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.