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Finding the Third Proportional to 42,534 and 70,611.75

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Solution

The third proportional to 42,534 and 70,611.75 is: 117,224.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,534 : 70,611.75 = 70,611.75 : x
  2. Step 2: Convert to fraction form
    42,534/70,611.75 = 70,611.75/x
  3. Step 3: Cross multiply
    42,534x = 70,611.75 × 70,611.75
  4. Step 4: Simplify right side
    42,534x = 4,986,019,238.06
  5. Step 5: Solve for x
    x = 4,986,019,238.06/42,534
  6. Step 6: Final answer
    x = 117,224.32

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.