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Finding the Third Proportional to 114,528.75 and 124,911

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Solution

The third proportional to 114,528.75 and 124,911 is: 136,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,528.75 : 124,911 = 124,911 : x
  2. Step 2: Convert to fraction form
    114,528.75/124,911 = 124,911/x
  3. Step 3: Cross multiply
    114,528.75x = 124,911 × 124,911
  4. Step 4: Simplify right side
    114,528.75x = 15,602,757,921
  5. Step 5: Solve for x
    x = 15,602,757,921/114,528.75
  6. Step 6: Final answer
    x = 136,234.42

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.