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Finding the Third Proportional to 61,634 and 90,257

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Solution

The third proportional to 61,634 and 90,257 is: 132,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,634 : 90,257 = 90,257 : x
  2. Step 2: Convert to fraction form
    61,634/90,257 = 90,257/x
  3. Step 3: Cross multiply
    61,634x = 90,257 × 90,257
  4. Step 4: Simplify right side
    61,634x = 8,146,326,049
  5. Step 5: Solve for x
    x = 8,146,326,049/61,634
  6. Step 6: Final answer
    x = 132,172.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.