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Finding the Third Proportional to 92,594 and 131,106

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Solution

The third proportional to 92,594 and 131,106 is: 185,636.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,594 : 131,106 = 131,106 : x
  2. Step 2: Convert to fraction form
    92,594/131,106 = 131,106/x
  3. Step 3: Cross multiply
    92,594x = 131,106 × 131,106
  4. Step 4: Simplify right side
    92,594x = 17,188,783,236
  5. Step 5: Solve for x
    x = 17,188,783,236/92,594
  6. Step 6: Final answer
    x = 185,636.04

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.