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Finding the Third Proportional to 57,266 and 83,402

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Solution

The third proportional to 57,266 and 83,402 is: 121,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,266 : 83,402 = 83,402 : x
  2. Step 2: Convert to fraction form
    57,266/83,402 = 83,402/x
  3. Step 3: Cross multiply
    57,266x = 83,402 × 83,402
  4. Step 4: Simplify right side
    57,266x = 6,955,893,604
  5. Step 5: Solve for x
    x = 6,955,893,604/57,266
  6. Step 6: Final answer
    x = 121,466.38

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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.