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Finding the Third Proportional to 93,502 and 150,407

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Solution

The third proportional to 93,502 and 150,407 is: 241,944.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,502 : 150,407 = 150,407 : x
  2. Step 2: Convert to fraction form
    93,502/150,407 = 150,407/x
  3. Step 3: Cross multiply
    93,502x = 150,407 × 150,407
  4. Step 4: Simplify right side
    93,502x = 22,622,265,649
  5. Step 5: Solve for x
    x = 22,622,265,649/93,502
  6. Step 6: Final answer
    x = 241,944.19

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.