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Finding the Third Proportional to 53,937 and 83,745.50

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Solution

The third proportional to 53,937 and 83,745.50 is: 130,027.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,937 : 83,745.50 = 83,745.50 : x
  2. Step 2: Convert to fraction form
    53,937/83,745.50 = 83,745.50/x
  3. Step 3: Cross multiply
    53,937x = 83,745.50 × 83,745.50
  4. Step 4: Simplify right side
    53,937x = 7,013,308,770.25
  5. Step 5: Solve for x
    x = 7,013,308,770.25/53,937
  6. Step 6: Final answer
    x = 130,027.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.