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Finding the Third Proportional to 55,298.25 and 83,409.75

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Solution

The third proportional to 55,298.25 and 83,409.75 is: 125,812.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,298.25 : 83,409.75 = 83,409.75 : x
  2. Step 2: Convert to fraction form
    55,298.25/83,409.75 = 83,409.75/x
  3. Step 3: Cross multiply
    55,298.25x = 83,409.75 × 83,409.75
  4. Step 4: Simplify right side
    55,298.25x = 6,957,186,395.06
  5. Step 5: Solve for x
    x = 6,957,186,395.06/55,298.25
  6. Step 6: Final answer
    x = 125,812.05

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Why These Related Problems?

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