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Finding the Third Proportional to 103,986 and 148,705

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Solution

The third proportional to 103,986 and 148,705 is: 212,655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,986 : 148,705 = 148,705 : x
  2. Step 2: Convert to fraction form
    103,986/148,705 = 148,705/x
  3. Step 3: Cross multiply
    103,986x = 148,705 × 148,705
  4. Step 4: Simplify right side
    103,986x = 22,113,177,025
  5. Step 5: Solve for x
    x = 22,113,177,025/103,986
  6. Step 6: Final answer
    x = 212,655.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.