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Finding the Third Proportional to 97,720 and 155,322

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Solution

The third proportional to 97,720 and 155,322 is: 246,878.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,720 : 155,322 = 155,322 : x
  2. Step 2: Convert to fraction form
    97,720/155,322 = 155,322/x
  3. Step 3: Cross multiply
    97,720x = 155,322 × 155,322
  4. Step 4: Simplify right side
    97,720x = 24,124,923,684
  5. Step 5: Solve for x
    x = 24,124,923,684/97,720
  6. Step 6: Final answer
    x = 246,878.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.