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Finding the Third Proportional to 50,422.50 and 70,675.03

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Solution

The third proportional to 50,422.50 and 70,675.03 is: 99,062.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,422.50 : 70,675.03 = 70,675.03 : x
  2. Step 2: Convert to fraction form
    50,422.50/70,675.03 = 70,675.03/x
  3. Step 3: Cross multiply
    50,422.50x = 70,675.03 × 70,675.03
  4. Step 4: Simplify right side
    50,422.50x = 4,994,960,042.19
  5. Step 5: Solve for x
    x = 4,994,960,042.19/50,422.50
  6. Step 6: Final answer
    x = 99,062.13

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.