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Finding the Third Proportional to 84,678 and 124,678

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Solution

The third proportional to 84,678 and 124,678 is: 183,573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,678 : 124,678 = 124,678 : x
  2. Step 2: Convert to fraction form
    84,678/124,678 = 124,678/x
  3. Step 3: Cross multiply
    84,678x = 124,678 × 124,678
  4. Step 4: Simplify right side
    84,678x = 15,544,603,684
  5. Step 5: Solve for x
    x = 15,544,603,684/84,678
  6. Step 6: Final answer
    x = 183,573.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.