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Finding the Third Proportional to 73,916 and 162,139

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Solution

The third proportional to 73,916 and 162,139 is: 355,661.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,916 : 162,139 = 162,139 : x
  2. Step 2: Convert to fraction form
    73,916/162,139 = 162,139/x
  3. Step 3: Cross multiply
    73,916x = 162,139 × 162,139
  4. Step 4: Simplify right side
    73,916x = 26,289,055,321
  5. Step 5: Solve for x
    x = 26,289,055,321/73,916
  6. Step 6: Final answer
    x = 355,661.23

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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.