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Finding the Third Proportional to 103,581 and 156,772

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Solution

The third proportional to 103,581 and 156,772 is: 237,277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,581 : 156,772 = 156,772 : x
  2. Step 2: Convert to fraction form
    103,581/156,772 = 156,772/x
  3. Step 3: Cross multiply
    103,581x = 156,772 × 156,772
  4. Step 4: Simplify right side
    103,581x = 24,577,459,984
  5. Step 5: Solve for x
    x = 24,577,459,984/103,581
  6. Step 6: Final answer
    x = 237,277.69

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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.