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Finding the Third Proportional to 70,875 and 108,751.50

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Solution

The third proportional to 70,875 and 108,751.50 is: 166,869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,875 : 108,751.50 = 108,751.50 : x
  2. Step 2: Convert to fraction form
    70,875/108,751.50 = 108,751.50/x
  3. Step 3: Cross multiply
    70,875x = 108,751.50 × 108,751.50
  4. Step 4: Simplify right side
    70,875x = 11,826,888,752.25
  5. Step 5: Solve for x
    x = 11,826,888,752.25/70,875
  6. Step 6: Final answer
    x = 166,869.68

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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.