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Finding the Third Proportional to 61,300 and 93,734

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Solution

The third proportional to 61,300 and 93,734 is: 143,328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,300 : 93,734 = 93,734 : x
  2. Step 2: Convert to fraction form
    61,300/93,734 = 93,734/x
  3. Step 3: Cross multiply
    61,300x = 93,734 × 93,734
  4. Step 4: Simplify right side
    61,300x = 8,786,062,756
  5. Step 5: Solve for x
    x = 8,786,062,756/61,300
  6. Step 6: Final answer
    x = 143,328.92

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.