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Finding the Third Proportional to 46,419 and 108,459

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Solution

The third proportional to 46,419 and 108,459 is: 253,416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,419 : 108,459 = 108,459 : x
  2. Step 2: Convert to fraction form
    46,419/108,459 = 108,459/x
  3. Step 3: Cross multiply
    46,419x = 108,459 × 108,459
  4. Step 4: Simplify right side
    46,419x = 11,763,354,681
  5. Step 5: Solve for x
    x = 11,763,354,681/46,419
  6. Step 6: Final answer
    x = 253,416.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.