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Finding the Third Proportional to 81,298.69 and 123,094.69

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Solution

The third proportional to 81,298.69 and 123,094.69 is: 186,378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,298.69 : 123,094.69 = 123,094.69 : x
  2. Step 2: Convert to fraction form
    81,298.69/123,094.69 = 123,094.69/x
  3. Step 3: Cross multiply
    81,298.69x = 123,094.69 × 123,094.69
  4. Step 4: Simplify right side
    81,298.69x = 15,152,302,090.72
  5. Step 5: Solve for x
    x = 15,152,302,090.72/81,298.69
  6. Step 6: Final answer
    x = 186,378.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.