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Finding the Third Proportional to 107,838 and 154,411

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Solution

The third proportional to 107,838 and 154,411 is: 221,097.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,838 : 154,411 = 154,411 : x
  2. Step 2: Convert to fraction form
    107,838/154,411 = 154,411/x
  3. Step 3: Cross multiply
    107,838x = 154,411 × 154,411
  4. Step 4: Simplify right side
    107,838x = 23,842,756,921
  5. Step 5: Solve for x
    x = 23,842,756,921/107,838
  6. Step 6: Final answer
    x = 221,097.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.