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Finding the Third Proportional to 112,262 and 174,313

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Solution

The third proportional to 112,262 and 174,313 is: 270,661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,262 : 174,313 = 174,313 : x
  2. Step 2: Convert to fraction form
    112,262/174,313 = 174,313/x
  3. Step 3: Cross multiply
    112,262x = 174,313 × 174,313
  4. Step 4: Simplify right side
    112,262x = 30,385,021,969
  5. Step 5: Solve for x
    x = 30,385,021,969/112,262
  6. Step 6: Final answer
    x = 270,661.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.