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Finding the Third Proportional to 75,522 and 154,332

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Solution

The third proportional to 75,522 and 154,332 is: 315,383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,522 : 154,332 = 154,332 : x
  2. Step 2: Convert to fraction form
    75,522/154,332 = 154,332/x
  3. Step 3: Cross multiply
    75,522x = 154,332 × 154,332
  4. Step 4: Simplify right side
    75,522x = 23,818,366,224
  5. Step 5: Solve for x
    x = 23,818,366,224/75,522
  6. Step 6: Final answer
    x = 315,383.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.