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Finding the Third Proportional to 53,100 and 81,324

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Solution

The third proportional to 53,100 and 81,324 is: 124,549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,100 : 81,324 = 81,324 : x
  2. Step 2: Convert to fraction form
    53,100/81,324 = 81,324/x
  3. Step 3: Cross multiply
    53,100x = 81,324 × 81,324
  4. Step 4: Simplify right side
    53,100x = 6,613,592,976
  5. Step 5: Solve for x
    x = 6,613,592,976/53,100
  6. Step 6: Final answer
    x = 124,549.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.