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Finding the Third Proportional to 72,107 and 155,308

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Solution

The third proportional to 72,107 and 155,308 is: 334,510.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,107 : 155,308 = 155,308 : x
  2. Step 2: Convert to fraction form
    72,107/155,308 = 155,308/x
  3. Step 3: Cross multiply
    72,107x = 155,308 × 155,308
  4. Step 4: Simplify right side
    72,107x = 24,120,574,864
  5. Step 5: Solve for x
    x = 24,120,574,864/72,107
  6. Step 6: Final answer
    x = 334,510.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.