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Finding the Third Proportional to 77,572.69 and 114,901.03

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Solution

The third proportional to 77,572.69 and 114,901.03 is: 170,191.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,572.69 : 114,901.03 = 114,901.03 : x
  2. Step 2: Convert to fraction form
    77,572.69/114,901.03 = 114,901.03/x
  3. Step 3: Cross multiply
    77,572.69x = 114,901.03 × 114,901.03
  4. Step 4: Simplify right side
    77,572.69x = 13,202,246,982.31
  5. Step 5: Solve for x
    x = 13,202,246,982.31/77,572.69
  6. Step 6: Final answer
    x = 170,191.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.