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Finding the Third Proportional to 72,910.50 and 114,225.75

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Solution

The third proportional to 72,910.50 and 114,225.75 is: 178,952.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,910.50 : 114,225.75 = 114,225.75 : x
  2. Step 2: Convert to fraction form
    72,910.50/114,225.75 = 114,225.75/x
  3. Step 3: Cross multiply
    72,910.50x = 114,225.75 × 114,225.75
  4. Step 4: Simplify right side
    72,910.50x = 13,047,521,963.06
  5. Step 5: Solve for x
    x = 13,047,521,963.06/72,910.50
  6. Step 6: Final answer
    x = 178,952.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.