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Finding the Third Proportional to 118,068 and 254,793.75

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Solution

The third proportional to 118,068 and 254,793.75 is: 549,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,068 : 254,793.75 = 254,793.75 : x
  2. Step 2: Convert to fraction form
    118,068/254,793.75 = 254,793.75/x
  3. Step 3: Cross multiply
    118,068x = 254,793.75 × 254,793.75
  4. Step 4: Simplify right side
    118,068x = 64,919,855,039.06
  5. Step 5: Solve for x
    x = 64,919,855,039.06/118,068
  6. Step 6: Final answer
    x = 549,851.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.