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Finding the Third Proportional to 72,652.50 and 112,215

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Solution

The third proportional to 72,652.50 and 112,215 is: 173,321.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,652.50 : 112,215 = 112,215 : x
  2. Step 2: Convert to fraction form
    72,652.50/112,215 = 112,215/x
  3. Step 3: Cross multiply
    72,652.50x = 112,215 × 112,215
  4. Step 4: Simplify right side
    72,652.50x = 12,592,206,225
  5. Step 5: Solve for x
    x = 12,592,206,225/72,652.50
  6. Step 6: Final answer
    x = 173,321.03

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Why These Related Problems?

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