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Finding the Third Proportional to 57,658 and 84,254

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Solution

The third proportional to 57,658 and 84,254 is: 123,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,658 : 84,254 = 84,254 : x
  2. Step 2: Convert to fraction form
    57,658/84,254 = 84,254/x
  3. Step 3: Cross multiply
    57,658x = 84,254 × 84,254
  4. Step 4: Simplify right side
    57,658x = 7,098,736,516
  5. Step 5: Solve for x
    x = 7,098,736,516/57,658
  6. Step 6: Final answer
    x = 123,117.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.