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Finding the Third Proportional to 72,928 and 112,480

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Solution

The third proportional to 72,928 and 112,480 is: 173,482.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,928 : 112,480 = 112,480 : x
  2. Step 2: Convert to fraction form
    72,928/112,480 = 112,480/x
  3. Step 3: Cross multiply
    72,928x = 112,480 × 112,480
  4. Step 4: Simplify right side
    72,928x = 12,651,750,400
  5. Step 5: Solve for x
    x = 12,651,750,400/72,928
  6. Step 6: Final answer
    x = 173,482.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.