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Finding the Third Proportional to 70,461 and 147,845.25

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Solution

The third proportional to 70,461 and 147,845.25 is: 310,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,461 : 147,845.25 = 147,845.25 : x
  2. Step 2: Convert to fraction form
    70,461/147,845.25 = 147,845.25/x
  3. Step 3: Cross multiply
    70,461x = 147,845.25 × 147,845.25
  4. Step 4: Simplify right side
    70,461x = 21,858,217,947.56
  5. Step 5: Solve for x
    x = 21,858,217,947.56/70,461
  6. Step 6: Final answer
    x = 310,217.25

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.