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Finding the Third Proportional to 58,167 and 128,118

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Solution

The third proportional to 58,167 and 128,118 is: 282,191.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,167 : 128,118 = 128,118 : x
  2. Step 2: Convert to fraction form
    58,167/128,118 = 128,118/x
  3. Step 3: Cross multiply
    58,167x = 128,118 × 128,118
  4. Step 4: Simplify right side
    58,167x = 16,414,221,924
  5. Step 5: Solve for x
    x = 16,414,221,924/58,167
  6. Step 6: Final answer
    x = 282,191.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.