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Finding the Third Proportional to 46,257 and 66,099

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Solution

The third proportional to 46,257 and 66,099 is: 94,452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,257 : 66,099 = 66,099 : x
  2. Step 2: Convert to fraction form
    46,257/66,099 = 66,099/x
  3. Step 3: Cross multiply
    46,257x = 66,099 × 66,099
  4. Step 4: Simplify right side
    46,257x = 4,369,077,801
  5. Step 5: Solve for x
    x = 4,369,077,801/46,257
  6. Step 6: Final answer
    x = 94,452.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.