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Finding the Third Proportional to 73,672.50 and 113,305.50

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Solution

The third proportional to 73,672.50 and 113,305.50 is: 174,259.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,672.50 : 113,305.50 = 113,305.50 : x
  2. Step 2: Convert to fraction form
    73,672.50/113,305.50 = 113,305.50/x
  3. Step 3: Cross multiply
    73,672.50x = 113,305.50 × 113,305.50
  4. Step 4: Simplify right side
    73,672.50x = 12,838,136,330.25
  5. Step 5: Solve for x
    x = 12,838,136,330.25/73,672.50
  6. Step 6: Final answer
    x = 174,259.55

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.