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Finding the Third Proportional to 57,630 and 84,369

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Solution

The third proportional to 57,630 and 84,369 is: 123,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,630 : 84,369 = 84,369 : x
  2. Step 2: Convert to fraction form
    57,630/84,369 = 84,369/x
  3. Step 3: Cross multiply
    57,630x = 84,369 × 84,369
  4. Step 4: Simplify right side
    57,630x = 7,118,128,161
  5. Step 5: Solve for x
    x = 7,118,128,161/57,630
  6. Step 6: Final answer
    x = 123,514.28

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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.