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Finding the Third Proportional to 57,970 and 88,173

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Solution

The third proportional to 57,970 and 88,173 is: 134,112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,970 : 88,173 = 88,173 : x
  2. Step 2: Convert to fraction form
    57,970/88,173 = 88,173/x
  3. Step 3: Cross multiply
    57,970x = 88,173 × 88,173
  4. Step 4: Simplify right side
    57,970x = 7,774,477,929
  5. Step 5: Solve for x
    x = 7,774,477,929/57,970
  6. Step 6: Final answer
    x = 134,112.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.