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Finding the Third Proportional to 89,272.13 and 138,342.94

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Solution

The third proportional to 89,272.13 and 138,342.94 is: 214,386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,272.13 : 138,342.94 = 138,342.94 : x
  2. Step 2: Convert to fraction form
    89,272.13/138,342.94 = 138,342.94/x
  3. Step 3: Cross multiply
    89,272.13x = 138,342.94 × 138,342.94
  4. Step 4: Simplify right side
    89,272.13x = 19,138,768,356.13
  5. Step 5: Solve for x
    x = 19,138,768,356.13/89,272.13
  6. Step 6: Final answer
    x = 214,386.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.