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Finding the Third Proportional to 61,334 and 93,093

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Solution

The third proportional to 61,334 and 93,093 is: 141,296.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,334 : 93,093 = 93,093 : x
  2. Step 2: Convert to fraction form
    61,334/93,093 = 93,093/x
  3. Step 3: Cross multiply
    61,334x = 93,093 × 93,093
  4. Step 4: Simplify right side
    61,334x = 8,666,306,649
  5. Step 5: Solve for x
    x = 8,666,306,649/61,334
  6. Step 6: Final answer
    x = 141,296.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.