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Finding the Third Proportional to 57,208.50 and 88,978.50

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Solution

The third proportional to 57,208.50 and 88,978.50 is: 138,391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,208.50 : 88,978.50 = 88,978.50 : x
  2. Step 2: Convert to fraction form
    57,208.50/88,978.50 = 88,978.50/x
  3. Step 3: Cross multiply
    57,208.50x = 88,978.50 × 88,978.50
  4. Step 4: Simplify right side
    57,208.50x = 7,917,173,462.25
  5. Step 5: Solve for x
    x = 7,917,173,462.25/57,208.50
  6. Step 6: Final answer
    x = 138,391.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.