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Finding the Third Proportional to 61,122 and 97,257

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Solution

The third proportional to 61,122 and 97,257 is: 154,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,122 : 97,257 = 97,257 : x
  2. Step 2: Convert to fraction form
    61,122/97,257 = 97,257/x
  3. Step 3: Cross multiply
    61,122x = 97,257 × 97,257
  4. Step 4: Simplify right side
    61,122x = 9,458,924,049
  5. Step 5: Solve for x
    x = 9,458,924,049/61,122
  6. Step 6: Final answer
    x = 154,754.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.