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Finding the Third Proportional to 56,988 and 85,164

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Solution

The third proportional to 56,988 and 85,164 is: 127,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,988 : 85,164 = 85,164 : x
  2. Step 2: Convert to fraction form
    56,988/85,164 = 85,164/x
  3. Step 3: Cross multiply
    56,988x = 85,164 × 85,164
  4. Step 4: Simplify right side
    56,988x = 7,252,906,896
  5. Step 5: Solve for x
    x = 7,252,906,896/56,988
  6. Step 6: Final answer
    x = 127,270.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.