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Finding the Third Proportional to 25,050 and 59,240

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Solution

The third proportional to 25,050 and 59,240 is: 140,094.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,050 : 59,240 = 59,240 : x
  2. Step 2: Convert to fraction form
    25,050/59,240 = 59,240/x
  3. Step 3: Cross multiply
    25,050x = 59,240 × 59,240
  4. Step 4: Simplify right side
    25,050x = 3,509,377,600
  5. Step 5: Solve for x
    x = 3,509,377,600/25,050
  6. Step 6: Final answer
    x = 140,094.91

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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.