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Finding the Third Proportional to 114,526 and 171,260

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Solution

The third proportional to 114,526 and 171,260 is: 256,098.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,526 : 171,260 = 171,260 : x
  2. Step 2: Convert to fraction form
    114,526/171,260 = 171,260/x
  3. Step 3: Cross multiply
    114,526x = 171,260 × 171,260
  4. Step 4: Simplify right side
    114,526x = 29,329,987,600
  5. Step 5: Solve for x
    x = 29,329,987,600/114,526
  6. Step 6: Final answer
    x = 256,098.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.