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

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Solution

The third proportional to 134,502 and 188,502 is: 264,181.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,502 : 188,502 = 188,502 : x
  2. Step 2: Convert to fraction form
    134,502/188,502 = 188,502/x
  3. Step 3: Cross multiply
    134,502x = 188,502 × 188,502
  4. Step 4: Simplify right side
    134,502x = 35,533,004,004
  5. Step 5: Solve for x
    x = 35,533,004,004/134,502
  6. Step 6: Final answer
    x = 264,181.98

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