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Finding the Third Proportional to 67,972.50 and 103,457.25

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Solution

The third proportional to 67,972.50 and 103,457.25 is: 157,466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,972.50 : 103,457.25 = 103,457.25 : x
  2. Step 2: Convert to fraction form
    67,972.50/103,457.25 = 103,457.25/x
  3. Step 3: Cross multiply
    67,972.50x = 103,457.25 × 103,457.25
  4. Step 4: Simplify right side
    67,972.50x = 10,703,402,577.56
  5. Step 5: Solve for x
    x = 10,703,402,577.56/67,972.50
  6. Step 6: Final answer
    x = 157,466.66

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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.