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Finding the Third Proportional to 61,726 and 93,456

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Solution

The third proportional to 61,726 and 93,456 is: 141,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,726 : 93,456 = 93,456 : x
  2. Step 2: Convert to fraction form
    61,726/93,456 = 93,456/x
  3. Step 3: Cross multiply
    61,726x = 93,456 × 93,456
  4. Step 4: Simplify right side
    61,726x = 8,734,023,936
  5. Step 5: Solve for x
    x = 8,734,023,936/61,726
  6. Step 6: Final answer
    x = 141,496.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.