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Finding the Third Proportional to 85,830 and 125,673

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Solution

The third proportional to 85,830 and 125,673 is: 184,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,830 : 125,673 = 125,673 : x
  2. Step 2: Convert to fraction form
    85,830/125,673 = 125,673/x
  3. Step 3: Cross multiply
    85,830x = 125,673 × 125,673
  4. Step 4: Simplify right side
    85,830x = 15,793,702,929
  5. Step 5: Solve for x
    x = 15,793,702,929/85,830
  6. Step 6: Final answer
    x = 184,011.45

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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.