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Finding the Third Proportional to 97,982 and 151,392

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Solution

The third proportional to 97,982 and 151,392 is: 233,915.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,982 : 151,392 = 151,392 : x
  2. Step 2: Convert to fraction form
    97,982/151,392 = 151,392/x
  3. Step 3: Cross multiply
    97,982x = 151,392 × 151,392
  4. Step 4: Simplify right side
    97,982x = 22,919,537,664
  5. Step 5: Solve for x
    x = 22,919,537,664/97,982
  6. Step 6: Final answer
    x = 233,915.80

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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.