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Finding the Third Proportional to 72,806 and 158,788

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Solution

The third proportional to 72,806 and 158,788 is: 346,312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,806 : 158,788 = 158,788 : x
  2. Step 2: Convert to fraction form
    72,806/158,788 = 158,788/x
  3. Step 3: Cross multiply
    72,806x = 158,788 × 158,788
  4. Step 4: Simplify right side
    72,806x = 25,213,628,944
  5. Step 5: Solve for x
    x = 25,213,628,944/72,806
  6. Step 6: Final answer
    x = 346,312.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.