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Finding the Third Proportional to 134,443.50 and 188,421

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Solution

The third proportional to 134,443.50 and 188,421 is: 264,069.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,443.50 : 188,421 = 188,421 : x
  2. Step 2: Convert to fraction form
    134,443.50/188,421 = 188,421/x
  3. Step 3: Cross multiply
    134,443.50x = 188,421 × 188,421
  4. Step 4: Simplify right side
    134,443.50x = 35,502,473,241
  5. Step 5: Solve for x
    x = 35,502,473,241/134,443.50
  6. Step 6: Final answer
    x = 264,069.84

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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.