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Finding the Third Proportional to 105,106 and 158,750

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Solution

The third proportional to 105,106 and 158,750 is: 239,772.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,106 : 158,750 = 158,750 : x
  2. Step 2: Convert to fraction form
    105,106/158,750 = 158,750/x
  3. Step 3: Cross multiply
    105,106x = 158,750 × 158,750
  4. Step 4: Simplify right side
    105,106x = 25,201,562,500
  5. Step 5: Solve for x
    x = 25,201,562,500/105,106
  6. Step 6: Final answer
    x = 239,772.82

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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.