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Finding the Third Proportional to 25,083 and 59,208.50

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Solution

The third proportional to 25,083 and 59,208.50 is: 139,761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,083 : 59,208.50 = 59,208.50 : x
  2. Step 2: Convert to fraction form
    25,083/59,208.50 = 59,208.50/x
  3. Step 3: Cross multiply
    25,083x = 59,208.50 × 59,208.50
  4. Step 4: Simplify right side
    25,083x = 3,505,646,472.25
  5. Step 5: Solve for x
    x = 3,505,646,472.25/25,083
  6. Step 6: Final answer
    x = 139,761.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.