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Finding the Third Proportional to 97,010 and 145,876

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Solution

The third proportional to 97,010 and 145,876 is: 219,356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,010 : 145,876 = 145,876 : x
  2. Step 2: Convert to fraction form
    97,010/145,876 = 145,876/x
  3. Step 3: Cross multiply
    97,010x = 145,876 × 145,876
  4. Step 4: Simplify right side
    97,010x = 21,279,807,376
  5. Step 5: Solve for x
    x = 21,279,807,376/97,010
  6. Step 6: Final answer
    x = 219,356.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.