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Finding the Third Proportional to 97,942 and 212,476

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Solution

The third proportional to 97,942 and 212,476 is: 460,946.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,942 : 212,476 = 212,476 : x
  2. Step 2: Convert to fraction form
    97,942/212,476 = 212,476/x
  3. Step 3: Cross multiply
    97,942x = 212,476 × 212,476
  4. Step 4: Simplify right side
    97,942x = 45,146,050,576
  5. Step 5: Solve for x
    x = 45,146,050,576/97,942
  6. Step 6: Final answer
    x = 460,946.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.