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Finding the Third Proportional to 71,594 and 110,094

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Solution

The third proportional to 71,594 and 110,094 is: 169,297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,594 : 110,094 = 110,094 : x
  2. Step 2: Convert to fraction form
    71,594/110,094 = 110,094/x
  3. Step 3: Cross multiply
    71,594x = 110,094 × 110,094
  4. Step 4: Simplify right side
    71,594x = 12,120,688,836
  5. Step 5: Solve for x
    x = 12,120,688,836/71,594
  6. Step 6: Final answer
    x = 169,297.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.