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Finding the Third Proportional to 55,298.81 and 83,401.31

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Solution

The third proportional to 55,298.81 and 83,401.31 is: 125,785.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,298.81 : 83,401.31 = 83,401.31 : x
  2. Step 2: Convert to fraction form
    55,298.81/83,401.31 = 83,401.31/x
  3. Step 3: Cross multiply
    55,298.81x = 83,401.31 × 83,401.31
  4. Step 4: Simplify right side
    55,298.81x = 6,955,778,926.72
  5. Step 5: Solve for x
    x = 6,955,778,926.72/55,298.81
  6. Step 6: Final answer
    x = 125,785.32

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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.