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Finding the Third Proportional to 97,124 and 211,342

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Solution

The third proportional to 97,124 and 211,342 is: 459,880.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,124 : 211,342 = 211,342 : x
  2. Step 2: Convert to fraction form
    97,124/211,342 = 211,342/x
  3. Step 3: Cross multiply
    97,124x = 211,342 × 211,342
  4. Step 4: Simplify right side
    97,124x = 44,665,440,964
  5. Step 5: Solve for x
    x = 44,665,440,964/97,124
  6. Step 6: Final answer
    x = 459,880.57

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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.