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Finding the Third Proportional to 70,050.75 and 149,943

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Solution

The third proportional to 70,050.75 and 149,943 is: 320,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,050.75 : 149,943 = 149,943 : x
  2. Step 2: Convert to fraction form
    70,050.75/149,943 = 149,943/x
  3. Step 3: Cross multiply
    70,050.75x = 149,943 × 149,943
  4. Step 4: Simplify right side
    70,050.75x = 22,482,903,249
  5. Step 5: Solve for x
    x = 22,482,903,249/70,050.75
  6. Step 6: Final answer
    x = 320,951.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.