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Finding the Third Proportional to 97,126 and 211,346

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Solution

The third proportional to 97,126 and 211,346 is: 459,888.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,126 : 211,346 = 211,346 : x
  2. Step 2: Convert to fraction form
    97,126/211,346 = 211,346/x
  3. Step 3: Cross multiply
    97,126x = 211,346 × 211,346
  4. Step 4: Simplify right side
    97,126x = 44,667,131,716
  5. Step 5: Solve for x
    x = 44,667,131,716/97,126
  6. Step 6: Final answer
    x = 459,888.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.