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Finding the Third Proportional to 53,480 and 61,256

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Solution

The third proportional to 53,480 and 61,256 is: 70,162.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,480 : 61,256 = 61,256 : x
  2. Step 2: Convert to fraction form
    53,480/61,256 = 61,256/x
  3. Step 3: Cross multiply
    53,480x = 61,256 × 61,256
  4. Step 4: Simplify right side
    53,480x = 3,752,297,536
  5. Step 5: Solve for x
    x = 3,752,297,536/53,480
  6. Step 6: Final answer
    x = 70,162.63

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.