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Finding the Third Proportional to 133,321 and 187,507

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Solution

The third proportional to 133,321 and 187,507 is: 263,715.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,321 : 187,507 = 187,507 : x
  2. Step 2: Convert to fraction form
    133,321/187,507 = 187,507/x
  3. Step 3: Cross multiply
    133,321x = 187,507 × 187,507
  4. Step 4: Simplify right side
    133,321x = 35,158,875,049
  5. Step 5: Solve for x
    x = 35,158,875,049/133,321
  6. Step 6: Final answer
    x = 263,715.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.