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Finding the Third Proportional to 72,789 and 158,391

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Solution

The third proportional to 72,789 and 158,391 is: 344,663.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,789 : 158,391 = 158,391 : x
  2. Step 2: Convert to fraction form
    72,789/158,391 = 158,391/x
  3. Step 3: Cross multiply
    72,789x = 158,391 × 158,391
  4. Step 4: Simplify right side
    72,789x = 25,087,708,881
  5. Step 5: Solve for x
    x = 25,087,708,881/72,789
  6. Step 6: Final answer
    x = 344,663.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.