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Finding the Third Proportional to 67,653 and 91,273.50

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Solution

The third proportional to 67,653 and 91,273.50 is: 123,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,653 : 91,273.50 = 91,273.50 : x
  2. Step 2: Convert to fraction form
    67,653/91,273.50 = 91,273.50/x
  3. Step 3: Cross multiply
    67,653x = 91,273.50 × 91,273.50
  4. Step 4: Simplify right side
    67,653x = 8,330,851,802.25
  5. Step 5: Solve for x
    x = 8,330,851,802.25/67,653
  6. Step 6: Final answer
    x = 123,140.91

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.