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Finding the Third Proportional to 62,235 and 92,946

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Solution

The third proportional to 62,235 and 92,946 is: 138,811.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,235 : 92,946 = 92,946 : x
  2. Step 2: Convert to fraction form
    62,235/92,946 = 92,946/x
  3. Step 3: Cross multiply
    62,235x = 92,946 × 92,946
  4. Step 4: Simplify right side
    62,235x = 8,638,958,916
  5. Step 5: Solve for x
    x = 8,638,958,916/62,235
  6. Step 6: Final answer
    x = 138,811.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.