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Finding the Third Proportional to 57,176 and 86,124

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Solution

The third proportional to 57,176 and 86,124 is: 129,728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,176 : 86,124 = 86,124 : x
  2. Step 2: Convert to fraction form
    57,176/86,124 = 86,124/x
  3. Step 3: Cross multiply
    57,176x = 86,124 × 86,124
  4. Step 4: Simplify right side
    57,176x = 7,417,343,376
  5. Step 5: Solve for x
    x = 7,417,343,376/57,176
  6. Step 6: Final answer
    x = 129,728.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.