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Finding the Third Proportional to 118,002 and 254,662.50

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Solution

The third proportional to 118,002 and 254,662.50 is: 549,592.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,002 : 254,662.50 = 254,662.50 : x
  2. Step 2: Convert to fraction form
    118,002/254,662.50 = 254,662.50/x
  3. Step 3: Cross multiply
    118,002x = 254,662.50 × 254,662.50
  4. Step 4: Simplify right side
    118,002x = 64,852,988,906.25
  5. Step 5: Solve for x
    x = 64,852,988,906.25/118,002
  6. Step 6: Final answer
    x = 549,592.29

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