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Finding the Third Proportional to 114,544 and 174,246

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Solution

The third proportional to 114,544 and 174,246 is: 265,065.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,544 : 174,246 = 174,246 : x
  2. Step 2: Convert to fraction form
    114,544/174,246 = 174,246/x
  3. Step 3: Cross multiply
    114,544x = 174,246 × 174,246
  4. Step 4: Simplify right side
    114,544x = 30,361,668,516
  5. Step 5: Solve for x
    x = 30,361,668,516/114,544
  6. Step 6: Final answer
    x = 265,065.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.