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Finding the Third Proportional to 102,594 and 154,567

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Solution

The third proportional to 102,594 and 154,567 is: 232,868.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,594 : 154,567 = 154,567 : x
  2. Step 2: Convert to fraction form
    102,594/154,567 = 154,567/x
  3. Step 3: Cross multiply
    102,594x = 154,567 × 154,567
  4. Step 4: Simplify right side
    102,594x = 23,890,957,489
  5. Step 5: Solve for x
    x = 23,890,957,489/102,594
  6. Step 6: Final answer
    x = 232,868.95

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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.