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Finding the Third Proportional to 69,768 and 157,788

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Solution

The third proportional to 69,768 and 157,788 is: 356,854.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,768 : 157,788 = 157,788 : x
  2. Step 2: Convert to fraction form
    69,768/157,788 = 157,788/x
  3. Step 3: Cross multiply
    69,768x = 157,788 × 157,788
  4. Step 4: Simplify right side
    69,768x = 24,897,052,944
  5. Step 5: Solve for x
    x = 24,897,052,944/69,768
  6. Step 6: Final answer
    x = 356,854.90

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.