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Finding the Third Proportional to 27,132 and 59,160

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Solution

The third proportional to 27,132 and 59,160 is: 128,995.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,132 : 59,160 = 59,160 : x
  2. Step 2: Convert to fraction form
    27,132/59,160 = 59,160/x
  3. Step 3: Cross multiply
    27,132x = 59,160 × 59,160
  4. Step 4: Simplify right side
    27,132x = 3,499,905,600
  5. Step 5: Solve for x
    x = 3,499,905,600/27,132
  6. Step 6: Final answer
    x = 128,995.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.