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Finding the Third Proportional to 72,922.50 and 158,294.25

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Solution

The third proportional to 72,922.50 and 158,294.25 is: 343,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,922.50 : 158,294.25 = 158,294.25 : x
  2. Step 2: Convert to fraction form
    72,922.50/158,294.25 = 158,294.25/x
  3. Step 3: Cross multiply
    72,922.50x = 158,294.25 × 158,294.25
  4. Step 4: Simplify right side
    72,922.50x = 25,057,069,583.06
  5. Step 5: Solve for x
    x = 25,057,069,583.06/72,922.50
  6. Step 6: Final answer
    x = 343,612.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.