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Finding the Third Proportional to 69,652 and 152,656

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Solution

The third proportional to 69,652 and 152,656 is: 334,575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,652 : 152,656 = 152,656 : x
  2. Step 2: Convert to fraction form
    69,652/152,656 = 152,656/x
  3. Step 3: Cross multiply
    69,652x = 152,656 × 152,656
  4. Step 4: Simplify right side
    69,652x = 23,303,854,336
  5. Step 5: Solve for x
    x = 23,303,854,336/69,652
  6. Step 6: Final answer
    x = 334,575.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.