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Finding the Third Proportional to 102,569 and 155,220

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Solution

The third proportional to 102,569 and 155,220 is: 234,897.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,569 : 155,220 = 155,220 : x
  2. Step 2: Convert to fraction form
    102,569/155,220 = 155,220/x
  3. Step 3: Cross multiply
    102,569x = 155,220 × 155,220
  4. Step 4: Simplify right side
    102,569x = 24,093,248,400
  5. Step 5: Solve for x
    x = 24,093,248,400/102,569
  6. Step 6: Final answer
    x = 234,897.96

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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.