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Finding the Third Proportional to 62,247 and 97,257

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Solution

The third proportional to 62,247 and 97,257 is: 151,957.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,247 : 97,257 = 97,257 : x
  2. Step 2: Convert to fraction form
    62,247/97,257 = 97,257/x
  3. Step 3: Cross multiply
    62,247x = 97,257 × 97,257
  4. Step 4: Simplify right side
    62,247x = 9,458,924,049
  5. Step 5: Solve for x
    x = 9,458,924,049/62,247
  6. Step 6: Final answer
    x = 151,957.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.