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Finding the Third Proportional to 53,194 and 69,018

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Solution

The third proportional to 53,194 and 69,018 is: 89,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,194 : 69,018 = 69,018 : x
  2. Step 2: Convert to fraction form
    53,194/69,018 = 69,018/x
  3. Step 3: Cross multiply
    53,194x = 69,018 × 69,018
  4. Step 4: Simplify right side
    53,194x = 4,763,484,324
  5. Step 5: Solve for x
    x = 4,763,484,324/53,194
  6. Step 6: Final answer
    x = 89,549.28

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.