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Finding the Third Proportional to 57,230 and 88,614

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Solution

The third proportional to 57,230 and 88,614 is: 137,208.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,230 : 88,614 = 88,614 : x
  2. Step 2: Convert to fraction form
    57,230/88,614 = 88,614/x
  3. Step 3: Cross multiply
    57,230x = 88,614 × 88,614
  4. Step 4: Simplify right side
    57,230x = 7,852,440,996
  5. Step 5: Solve for x
    x = 7,852,440,996/57,230
  6. Step 6: Final answer
    x = 137,208.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.