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Finding the Third Proportional to 96,262 and 211,124

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Solution

The third proportional to 96,262 and 211,124 is: 463,041.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,262 : 211,124 = 211,124 : x
  2. Step 2: Convert to fraction form
    96,262/211,124 = 211,124/x
  3. Step 3: Cross multiply
    96,262x = 211,124 × 211,124
  4. Step 4: Simplify right side
    96,262x = 44,573,343,376
  5. Step 5: Solve for x
    x = 44,573,343,376/96,262
  6. Step 6: Final answer
    x = 463,041.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.