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Finding the Third Proportional to 57,024 and 89,574

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Solution

The third proportional to 57,024 and 89,574 is: 140,703.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,024 : 89,574 = 89,574 : x
  2. Step 2: Convert to fraction form
    57,024/89,574 = 89,574/x
  3. Step 3: Cross multiply
    57,024x = 89,574 × 89,574
  4. Step 4: Simplify right side
    57,024x = 8,023,501,476
  5. Step 5: Solve for x
    x = 8,023,501,476/57,024
  6. Step 6: Final answer
    x = 140,703.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.