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Finding the Third Proportional to 81,587 and 127,034

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Solution

The third proportional to 81,587 and 127,034 is: 197,796.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,587 : 127,034 = 127,034 : x
  2. Step 2: Convert to fraction form
    81,587/127,034 = 127,034/x
  3. Step 3: Cross multiply
    81,587x = 127,034 × 127,034
  4. Step 4: Simplify right side
    81,587x = 16,137,637,156
  5. Step 5: Solve for x
    x = 16,137,637,156/81,587
  6. Step 6: Final answer
    x = 197,796.67

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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.