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Finding the Third Proportional to 72,174 and 103,963.50

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Solution

The third proportional to 72,174 and 103,963.50 is: 149,754.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,174 : 103,963.50 = 103,963.50 : x
  2. Step 2: Convert to fraction form
    72,174/103,963.50 = 103,963.50/x
  3. Step 3: Cross multiply
    72,174x = 103,963.50 × 103,963.50
  4. Step 4: Simplify right side
    72,174x = 10,808,409,332.25
  5. Step 5: Solve for x
    x = 10,808,409,332.25/72,174
  6. Step 6: Final answer
    x = 149,754.89

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.