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Finding the Third Proportional to 134,502 and 188,501

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Solution

The third proportional to 134,502 and 188,501 is: 264,179.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,502 : 188,501 = 188,501 : x
  2. Step 2: Convert to fraction form
    134,502/188,501 = 188,501/x
  3. Step 3: Cross multiply
    134,502x = 188,501 × 188,501
  4. Step 4: Simplify right side
    134,502x = 35,532,627,001
  5. Step 5: Solve for x
    x = 35,532,627,001/134,502
  6. Step 6: Final answer
    x = 264,179.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.