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Finding the Third Proportional to 97,126 and 211,904

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Solution

The third proportional to 97,126 and 211,904 is: 462,320.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,126 : 211,904 = 211,904 : x
  2. Step 2: Convert to fraction form
    97,126/211,904 = 211,904/x
  3. Step 3: Cross multiply
    97,126x = 211,904 × 211,904
  4. Step 4: Simplify right side
    97,126x = 44,903,305,216
  5. Step 5: Solve for x
    x = 44,903,305,216/97,126
  6. Step 6: Final answer
    x = 462,320.13

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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.