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Finding the Third Proportional to 65,646 and 92,894.63

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Solution

The third proportional to 65,646 and 92,894.63 is: 131,453.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,646 : 92,894.63 = 92,894.63 : x
  2. Step 2: Convert to fraction form
    65,646/92,894.63 = 92,894.63/x
  3. Step 3: Cross multiply
    65,646x = 92,894.63 × 92,894.63
  4. Step 4: Simplify right side
    65,646x = 8,629,411,353.89
  5. Step 5: Solve for x
    x = 8,629,411,353.89/65,646
  6. Step 6: Final answer
    x = 131,453.73

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.