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Finding the Third Proportional to 57,339 and 88,564.50

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Solution

The third proportional to 57,339 and 88,564.50 is: 136,794.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,339 : 88,564.50 = 88,564.50 : x
  2. Step 2: Convert to fraction form
    57,339/88,564.50 = 88,564.50/x
  3. Step 3: Cross multiply
    57,339x = 88,564.50 × 88,564.50
  4. Step 4: Simplify right side
    57,339x = 7,843,670,660.25
  5. Step 5: Solve for x
    x = 7,843,670,660.25/57,339
  6. Step 6: Final answer
    x = 136,794.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.