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Finding the Third Proportional to 72,306 and 156,913

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Solution

The third proportional to 72,306 and 156,913 is: 340,520.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,306 : 156,913 = 156,913 : x
  2. Step 2: Convert to fraction form
    72,306/156,913 = 156,913/x
  3. Step 3: Cross multiply
    72,306x = 156,913 × 156,913
  4. Step 4: Simplify right side
    72,306x = 24,621,689,569
  5. Step 5: Solve for x
    x = 24,621,689,569/72,306
  6. Step 6: Final answer
    x = 340,520.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.