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Finding the Third Proportional to 73,010 and 156,388

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Solution

The third proportional to 73,010 and 156,388 is: 334,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,010 : 156,388 = 156,388 : x
  2. Step 2: Convert to fraction form
    73,010/156,388 = 156,388/x
  3. Step 3: Cross multiply
    73,010x = 156,388 × 156,388
  4. Step 4: Simplify right side
    73,010x = 24,457,206,544
  5. Step 5: Solve for x
    x = 24,457,206,544/73,010
  6. Step 6: Final answer
    x = 334,984.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.