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Finding the Third Proportional to 83,044 and 125,430

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Solution

The third proportional to 83,044 and 125,430 is: 189,449.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,044 : 125,430 = 125,430 : x
  2. Step 2: Convert to fraction form
    83,044/125,430 = 125,430/x
  3. Step 3: Cross multiply
    83,044x = 125,430 × 125,430
  4. Step 4: Simplify right side
    83,044x = 15,732,684,900
  5. Step 5: Solve for x
    x = 15,732,684,900/83,044
  6. Step 6: Final answer
    x = 189,449.99

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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.