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Finding the Third Proportional to 56,676 and 88,164

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Solution

The third proportional to 56,676 and 88,164 is: 137,146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,676 : 88,164 = 88,164 : x
  2. Step 2: Convert to fraction form
    56,676/88,164 = 88,164/x
  3. Step 3: Cross multiply
    56,676x = 88,164 × 88,164
  4. Step 4: Simplify right side
    56,676x = 7,772,890,896
  5. Step 5: Solve for x
    x = 7,772,890,896/56,676
  6. Step 6: Final answer
    x = 137,146.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.