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Finding the Third Proportional to 105,966 and 148,533

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Solution

The third proportional to 105,966 and 148,533 is: 208,199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,966 : 148,533 = 148,533 : x
  2. Step 2: Convert to fraction form
    105,966/148,533 = 148,533/x
  3. Step 3: Cross multiply
    105,966x = 148,533 × 148,533
  4. Step 4: Simplify right side
    105,966x = 22,062,052,089
  5. Step 5: Solve for x
    x = 22,062,052,089/105,966
  6. Step 6: Final answer
    x = 208,199.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.