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Finding the Third Proportional to 56,580 and 132,114

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Solution

The third proportional to 56,580 and 132,114 is: 308,485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,580 : 132,114 = 132,114 : x
  2. Step 2: Convert to fraction form
    56,580/132,114 = 132,114/x
  3. Step 3: Cross multiply
    56,580x = 132,114 × 132,114
  4. Step 4: Simplify right side
    56,580x = 17,454,108,996
  5. Step 5: Solve for x
    x = 17,454,108,996/56,580
  6. Step 6: Final answer
    x = 308,485.49

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.