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Finding the Third Proportional to 117,110 and 175,347

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Solution

The third proportional to 117,110 and 175,347 is: 262,544.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,110 : 175,347 = 175,347 : x
  2. Step 2: Convert to fraction form
    117,110/175,347 = 175,347/x
  3. Step 3: Cross multiply
    117,110x = 175,347 × 175,347
  4. Step 4: Simplify right side
    117,110x = 30,746,570,409
  5. Step 5: Solve for x
    x = 30,746,570,409/117,110
  6. Step 6: Final answer
    x = 262,544.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.