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Finding the Third Proportional to 69,931.50 and 108,480

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Solution

The third proportional to 69,931.50 and 108,480 is: 168,277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,931.50 : 108,480 = 108,480 : x
  2. Step 2: Convert to fraction form
    69,931.50/108,480 = 108,480/x
  3. Step 3: Cross multiply
    69,931.50x = 108,480 × 108,480
  4. Step 4: Simplify right side
    69,931.50x = 11,767,910,400
  5. Step 5: Solve for x
    x = 11,767,910,400/69,931.50
  6. Step 6: Final answer
    x = 168,277.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.