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Finding the Third Proportional to 112,842 and 174,159

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Solution

The third proportional to 112,842 and 174,159 is: 268,794.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,842 : 174,159 = 174,159 : x
  2. Step 2: Convert to fraction form
    112,842/174,159 = 174,159/x
  3. Step 3: Cross multiply
    112,842x = 174,159 × 174,159
  4. Step 4: Simplify right side
    112,842x = 30,331,357,281
  5. Step 5: Solve for x
    x = 30,331,357,281/112,842
  6. Step 6: Final answer
    x = 268,794.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.