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Finding the Third Proportional to 72,072 and 115,800.75

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Solution

The third proportional to 72,072 and 115,800.75 is: 186,061.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,072 : 115,800.75 = 115,800.75 : x
  2. Step 2: Convert to fraction form
    72,072/115,800.75 = 115,800.75/x
  3. Step 3: Cross multiply
    72,072x = 115,800.75 × 115,800.75
  4. Step 4: Simplify right side
    72,072x = 13,409,813,700.56
  5. Step 5: Solve for x
    x = 13,409,813,700.56/72,072
  6. Step 6: Final answer
    x = 186,061.35

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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.