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Finding the Third Proportional to 103,642 and 157,011

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Solution

The third proportional to 103,642 and 157,011 is: 237,861.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,642 : 157,011 = 157,011 : x
  2. Step 2: Convert to fraction form
    103,642/157,011 = 157,011/x
  3. Step 3: Cross multiply
    103,642x = 157,011 × 157,011
  4. Step 4: Simplify right side
    103,642x = 24,652,454,121
  5. Step 5: Solve for x
    x = 24,652,454,121/103,642
  6. Step 6: Final answer
    x = 237,861.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.