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Finding the Third Proportional to 118,064.25 and 254,792.25

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Solution

The third proportional to 118,064.25 and 254,792.25 is: 549,862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,064.25 : 254,792.25 = 254,792.25 : x
  2. Step 2: Convert to fraction form
    118,064.25/254,792.25 = 254,792.25/x
  3. Step 3: Cross multiply
    118,064.25x = 254,792.25 × 254,792.25
  4. Step 4: Simplify right side
    118,064.25x = 64,919,090,660.06
  5. Step 5: Solve for x
    x = 64,919,090,660.06/118,064.25
  6. Step 6: Final answer
    x = 549,862.39

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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.