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Finding the Third Proportional to 113,564.81 and 245,939.06

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Solution

The third proportional to 113,564.81 and 245,939.06 is: 532,612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,564.81 : 245,939.06 = 245,939.06 : x
  2. Step 2: Convert to fraction form
    113,564.81/245,939.06 = 245,939.06/x
  3. Step 3: Cross multiply
    113,564.81x = 245,939.06 × 245,939.06
  4. Step 4: Simplify right side
    113,564.81x = 60,486,022,463.38
  5. Step 5: Solve for x
    x = 60,486,022,463.38/113,564.81
  6. Step 6: Final answer
    x = 532,612.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.