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Finding the Third Proportional to 55,325.25 and 83,043

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Solution

The third proportional to 55,325.25 and 83,043 is: 124,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,325.25 : 83,043 = 83,043 : x
  2. Step 2: Convert to fraction form
    55,325.25/83,043 = 83,043/x
  3. Step 3: Cross multiply
    55,325.25x = 83,043 × 83,043
  4. Step 4: Simplify right side
    55,325.25x = 6,896,139,849
  5. Step 5: Solve for x
    x = 6,896,139,849/55,325.25
  6. Step 6: Final answer
    x = 124,647.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.