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Finding the Third Proportional to 75,356 and 116,498

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Solution

The third proportional to 75,356 and 116,498 is: 180,102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,356 : 116,498 = 116,498 : x
  2. Step 2: Convert to fraction form
    75,356/116,498 = 116,498/x
  3. Step 3: Cross multiply
    75,356x = 116,498 × 116,498
  4. Step 4: Simplify right side
    75,356x = 13,571,784,004
  5. Step 5: Solve for x
    x = 13,571,784,004/75,356
  6. Step 6: Final answer
    x = 180,102.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.