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Finding the Third Proportional to 72,738 and 112,890

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Solution

The third proportional to 72,738 and 112,890 is: 175,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,738 : 112,890 = 112,890 : x
  2. Step 2: Convert to fraction form
    72,738/112,890 = 112,890/x
  3. Step 3: Cross multiply
    72,738x = 112,890 × 112,890
  4. Step 4: Simplify right side
    72,738x = 12,744,152,100
  5. Step 5: Solve for x
    x = 12,744,152,100/72,738
  6. Step 6: Final answer
    x = 175,206.25

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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.