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Finding the Third Proportional to 71,854 and 156,576

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Solution

The third proportional to 71,854 and 156,576 is: 341,192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,854 : 156,576 = 156,576 : x
  2. Step 2: Convert to fraction form
    71,854/156,576 = 156,576/x
  3. Step 3: Cross multiply
    71,854x = 156,576 × 156,576
  4. Step 4: Simplify right side
    71,854x = 24,516,043,776
  5. Step 5: Solve for x
    x = 24,516,043,776/71,854
  6. Step 6: Final answer
    x = 341,192.47

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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.