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Finding the Third Proportional to 70,458 and 147,839.63

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Solution

The third proportional to 70,458 and 147,839.63 is: 310,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,458 : 147,839.63 = 147,839.63 : x
  2. Step 2: Convert to fraction form
    70,458/147,839.63 = 147,839.63/x
  3. Step 3: Cross multiply
    70,458x = 147,839.63 × 147,839.63
  4. Step 4: Simplify right side
    70,458x = 21,856,554,720.14
  5. Step 5: Solve for x
    x = 21,856,554,720.14/70,458
  6. Step 6: Final answer
    x = 310,206.86

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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.