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Finding the Third Proportional to 83,054 and 125,445

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Solution

The third proportional to 83,054 and 125,445 is: 189,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,054 : 125,445 = 125,445 : x
  2. Step 2: Convert to fraction form
    83,054/125,445 = 125,445/x
  3. Step 3: Cross multiply
    83,054x = 125,445 × 125,445
  4. Step 4: Simplify right side
    83,054x = 15,736,448,025
  5. Step 5: Solve for x
    x = 15,736,448,025/83,054
  6. Step 6: Final answer
    x = 189,472.49

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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.