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Finding the Third Proportional to 70,870 and 108,746

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Solution

The third proportional to 70,870 and 108,746 is: 166,864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,870 : 108,746 = 108,746 : x
  2. Step 2: Convert to fraction form
    70,870/108,746 = 108,746/x
  3. Step 3: Cross multiply
    70,870x = 108,746 × 108,746
  4. Step 4: Simplify right side
    70,870x = 11,825,692,516
  5. Step 5: Solve for x
    x = 11,825,692,516/70,870
  6. Step 6: Final answer
    x = 166,864.58

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.