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Finding the Third Proportional to 101,970.75 and 154,937.25

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Solution

The third proportional to 101,970.75 and 154,937.25 is: 235,416.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,970.75 : 154,937.25 = 154,937.25 : x
  2. Step 2: Convert to fraction form
    101,970.75/154,937.25 = 154,937.25/x
  3. Step 3: Cross multiply
    101,970.75x = 154,937.25 × 154,937.25
  4. Step 4: Simplify right side
    101,970.75x = 24,005,551,437.56
  5. Step 5: Solve for x
    x = 24,005,551,437.56/101,970.75
  6. Step 6: Final answer
    x = 235,416.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.