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Finding the Third Proportional to 70,116 and 105,070

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Solution

The third proportional to 70,116 and 105,070 is: 157,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,116 : 105,070 = 105,070 : x
  2. Step 2: Convert to fraction form
    70,116/105,070 = 105,070/x
  3. Step 3: Cross multiply
    70,116x = 105,070 × 105,070
  4. Step 4: Simplify right side
    70,116x = 11,039,704,900
  5. Step 5: Solve for x
    x = 11,039,704,900/70,116
  6. Step 6: Final answer
    x = 157,449.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.