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Finding the Third Proportional to 27,164 and 58,072

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Solution

The third proportional to 27,164 and 58,072 is: 124,148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,164 : 58,072 = 58,072 : x
  2. Step 2: Convert to fraction form
    27,164/58,072 = 58,072/x
  3. Step 3: Cross multiply
    27,164x = 58,072 × 58,072
  4. Step 4: Simplify right side
    27,164x = 3,372,357,184
  5. Step 5: Solve for x
    x = 3,372,357,184/27,164
  6. Step 6: Final answer
    x = 124,148.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.