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Finding the Third Proportional to 69,377 and 152,392

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Solution

The third proportional to 69,377 and 152,392 is: 334,740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,377 : 152,392 = 152,392 : x
  2. Step 2: Convert to fraction form
    69,377/152,392 = 152,392/x
  3. Step 3: Cross multiply
    69,377x = 152,392 × 152,392
  4. Step 4: Simplify right side
    69,377x = 23,223,321,664
  5. Step 5: Solve for x
    x = 23,223,321,664/69,377
  6. Step 6: Final answer
    x = 334,740.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.