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Finding the Third Proportional to 71,323 and 110,440

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Solution

The third proportional to 71,323 and 110,440 is: 171,010.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,323 : 110,440 = 110,440 : x
  2. Step 2: Convert to fraction form
    71,323/110,440 = 110,440/x
  3. Step 3: Cross multiply
    71,323x = 110,440 × 110,440
  4. Step 4: Simplify right side
    71,323x = 12,196,993,600
  5. Step 5: Solve for x
    x = 12,196,993,600/71,323
  6. Step 6: Final answer
    x = 171,010.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.