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Finding the Third Proportional to 67,896 and 103,461.75

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Solution

The third proportional to 67,896 and 103,461.75 is: 157,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,896 : 103,461.75 = 103,461.75 : x
  2. Step 2: Convert to fraction form
    67,896/103,461.75 = 103,461.75/x
  3. Step 3: Cross multiply
    67,896x = 103,461.75 × 103,461.75
  4. Step 4: Simplify right side
    67,896x = 10,704,333,713.06
  5. Step 5: Solve for x
    x = 10,704,333,713.06/67,896
  6. Step 6: Final answer
    x = 157,657.80

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