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Finding the Third Proportional to 71,623 and 157,543

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Solution

The third proportional to 71,623 and 157,543 is: 346,533.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,623 : 157,543 = 157,543 : x
  2. Step 2: Convert to fraction form
    71,623/157,543 = 157,543/x
  3. Step 3: Cross multiply
    71,623x = 157,543 × 157,543
  4. Step 4: Simplify right side
    71,623x = 24,819,796,849
  5. Step 5: Solve for x
    x = 24,819,796,849/71,623
  6. Step 6: Final answer
    x = 346,533.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.