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Finding the Third Proportional to 80,522 and 118,415

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Solution

The third proportional to 80,522 and 118,415 is: 174,140.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,522 : 118,415 = 118,415 : x
  2. Step 2: Convert to fraction form
    80,522/118,415 = 118,415/x
  3. Step 3: Cross multiply
    80,522x = 118,415 × 118,415
  4. Step 4: Simplify right side
    80,522x = 14,022,112,225
  5. Step 5: Solve for x
    x = 14,022,112,225/80,522
  6. Step 6: Final answer
    x = 174,140.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.