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Finding the Third Proportional to 73,904 and 158,316

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Solution

The third proportional to 73,904 and 158,316 is: 339,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,904 : 158,316 = 158,316 : x
  2. Step 2: Convert to fraction form
    73,904/158,316 = 158,316/x
  3. Step 3: Cross multiply
    73,904x = 158,316 × 158,316
  4. Step 4: Simplify right side
    73,904x = 25,063,955,856
  5. Step 5: Solve for x
    x = 25,063,955,856/73,904
  6. Step 6: Final answer
    x = 339,142.07

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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.