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Finding the Third Proportional to 72,372 and 156,820

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Solution

The third proportional to 72,372 and 156,820 is: 339,807.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,372 : 156,820 = 156,820 : x
  2. Step 2: Convert to fraction form
    72,372/156,820 = 156,820/x
  3. Step 3: Cross multiply
    72,372x = 156,820 × 156,820
  4. Step 4: Simplify right side
    72,372x = 24,592,512,400
  5. Step 5: Solve for x
    x = 24,592,512,400/72,372
  6. Step 6: Final answer
    x = 339,807.00

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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.