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Finding the Third Proportional to 100,955.25 and 158,391

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Solution

The third proportional to 100,955.25 and 158,391 is: 248,503.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,955.25 : 158,391 = 158,391 : x
  2. Step 2: Convert to fraction form
    100,955.25/158,391 = 158,391/x
  3. Step 3: Cross multiply
    100,955.25x = 158,391 × 158,391
  4. Step 4: Simplify right side
    100,955.25x = 25,087,708,881
  5. Step 5: Solve for x
    x = 25,087,708,881/100,955.25
  6. Step 6: Final answer
    x = 248,503.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.