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Finding the Third Proportional to 105,430 and 154,418

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Solution

The third proportional to 105,430 and 154,418 is: 226,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,430 : 154,418 = 154,418 : x
  2. Step 2: Convert to fraction form
    105,430/154,418 = 154,418/x
  3. Step 3: Cross multiply
    105,430x = 154,418 × 154,418
  4. Step 4: Simplify right side
    105,430x = 23,844,918,724
  5. Step 5: Solve for x
    x = 23,844,918,724/105,430
  6. Step 6: Final answer
    x = 226,168.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.