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Finding the Third Proportional to 97,976 and 212,248

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Solution

The third proportional to 97,976 and 212,248 is: 459,798.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,976 : 212,248 = 212,248 : x
  2. Step 2: Convert to fraction form
    97,976/212,248 = 212,248/x
  3. Step 3: Cross multiply
    97,976x = 212,248 × 212,248
  4. Step 4: Simplify right side
    97,976x = 45,049,213,504
  5. Step 5: Solve for x
    x = 45,049,213,504/97,976
  6. Step 6: Final answer
    x = 459,798.46

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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.