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Finding the Third Proportional to 71,145 and 114,601.50

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Solution

The third proportional to 71,145 and 114,601.50 is: 184,601.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,145 : 114,601.50 = 114,601.50 : x
  2. Step 2: Convert to fraction form
    71,145/114,601.50 = 114,601.50/x
  3. Step 3: Cross multiply
    71,145x = 114,601.50 × 114,601.50
  4. Step 4: Simplify right side
    71,145x = 13,133,503,802.25
  5. Step 5: Solve for x
    x = 13,133,503,802.25/71,145
  6. Step 6: Final answer
    x = 184,601.92

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.