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Finding the Third Proportional to 61,830 and 93,619

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Solution

The third proportional to 61,830 and 93,619 is: 141,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,830 : 93,619 = 93,619 : x
  2. Step 2: Convert to fraction form
    61,830/93,619 = 93,619/x
  3. Step 3: Cross multiply
    61,830x = 93,619 × 93,619
  4. Step 4: Simplify right side
    61,830x = 8,764,517,161
  5. Step 5: Solve for x
    x = 8,764,517,161/61,830
  6. Step 6: Final answer
    x = 141,751.85

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