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Finding the Third Proportional to 70,944.75 and 105,801.75

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Solution

The third proportional to 70,944.75 and 105,801.75 is: 157,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,944.75 : 105,801.75 = 105,801.75 : x
  2. Step 2: Convert to fraction form
    70,944.75/105,801.75 = 105,801.75/x
  3. Step 3: Cross multiply
    70,944.75x = 105,801.75 × 105,801.75
  4. Step 4: Simplify right side
    70,944.75x = 11,194,010,303.06
  5. Step 5: Solve for x
    x = 11,194,010,303.06/70,944.75
  6. Step 6: Final answer
    x = 157,784.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.