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Finding the Third Proportional to 34,159 and 73,421

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Solution

The third proportional to 34,159 and 73,421 is: 157,810.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,159 : 73,421 = 73,421 : x
  2. Step 2: Convert to fraction form
    34,159/73,421 = 73,421/x
  3. Step 3: Cross multiply
    34,159x = 73,421 × 73,421
  4. Step 4: Simplify right side
    34,159x = 5,390,643,241
  5. Step 5: Solve for x
    x = 5,390,643,241/34,159
  6. Step 6: Final answer
    x = 157,810.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.