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Finding the Third Proportional to 118,734.75 and 252,042.75

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Solution

The third proportional to 118,734.75 and 252,042.75 is: 535,020.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,734.75 : 252,042.75 = 252,042.75 : x
  2. Step 2: Convert to fraction form
    118,734.75/252,042.75 = 252,042.75/x
  3. Step 3: Cross multiply
    118,734.75x = 252,042.75 × 252,042.75
  4. Step 4: Simplify right side
    118,734.75x = 63,525,547,827.56
  5. Step 5: Solve for x
    x = 63,525,547,827.56/118,734.75
  6. Step 6: Final answer
    x = 535,020.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.