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Finding the Third Proportional to 42,434 and 88,353

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Solution

The third proportional to 42,434 and 88,353 is: 183,962.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,434 : 88,353 = 88,353 : x
  2. Step 2: Convert to fraction form
    42,434/88,353 = 88,353/x
  3. Step 3: Cross multiply
    42,434x = 88,353 × 88,353
  4. Step 4: Simplify right side
    42,434x = 7,806,252,609
  5. Step 5: Solve for x
    x = 7,806,252,609/42,434
  6. Step 6: Final answer
    x = 183,962.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.