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Finding the Third Proportional to 118,965 and 175,159

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Solution

The third proportional to 118,965 and 175,159 is: 257,896.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,965 : 175,159 = 175,159 : x
  2. Step 2: Convert to fraction form
    118,965/175,159 = 175,159/x
  3. Step 3: Cross multiply
    118,965x = 175,159 × 175,159
  4. Step 4: Simplify right side
    118,965x = 30,680,675,281
  5. Step 5: Solve for x
    x = 30,680,675,281/118,965
  6. Step 6: Final answer
    x = 257,896.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.