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Finding the Third Proportional to 71,749.50 and 156,417

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Solution

The third proportional to 71,749.50 and 156,417 is: 340,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,749.50 : 156,417 = 156,417 : x
  2. Step 2: Convert to fraction form
    71,749.50/156,417 = 156,417/x
  3. Step 3: Cross multiply
    71,749.50x = 156,417 × 156,417
  4. Step 4: Simplify right side
    71,749.50x = 24,466,277,889
  5. Step 5: Solve for x
    x = 24,466,277,889/71,749.50
  6. Step 6: Final answer
    x = 340,995.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.