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Finding the Third Proportional to 74,054 and 162,514

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Solution

The third proportional to 74,054 and 162,514 is: 356,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,054 : 162,514 = 162,514 : x
  2. Step 2: Convert to fraction form
    74,054/162,514 = 162,514/x
  3. Step 3: Cross multiply
    74,054x = 162,514 × 162,514
  4. Step 4: Simplify right side
    74,054x = 26,410,800,196
  5. Step 5: Solve for x
    x = 26,410,800,196/74,054
  6. Step 6: Final answer
    x = 356,642.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.