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Finding the Third Proportional to 102,963 and 164,437

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Solution

The third proportional to 102,963 and 164,437 is: 262,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,963 : 164,437 = 164,437 : x
  2. Step 2: Convert to fraction form
    102,963/164,437 = 164,437/x
  3. Step 3: Cross multiply
    102,963x = 164,437 × 164,437
  4. Step 4: Simplify right side
    102,963x = 27,039,526,969
  5. Step 5: Solve for x
    x = 27,039,526,969/102,963
  6. Step 6: Final answer
    x = 262,614.02

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.