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Finding the Third Proportional to 97,468 and 155,073

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Solution

The third proportional to 97,468 and 155,073 is: 246,723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,468 : 155,073 = 155,073 : x
  2. Step 2: Convert to fraction form
    97,468/155,073 = 155,073/x
  3. Step 3: Cross multiply
    97,468x = 155,073 × 155,073
  4. Step 4: Simplify right side
    97,468x = 24,047,635,329
  5. Step 5: Solve for x
    x = 24,047,635,329/97,468
  6. Step 6: Final answer
    x = 246,723.39

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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.