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Finding the Third Proportional to 118,072.50 and 254,803.50

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Solution

The third proportional to 118,072.50 and 254,803.50 is: 549,872.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,072.50 : 254,803.50 = 254,803.50 : x
  2. Step 2: Convert to fraction form
    118,072.50/254,803.50 = 254,803.50/x
  3. Step 3: Cross multiply
    118,072.50x = 254,803.50 × 254,803.50
  4. Step 4: Simplify right side
    118,072.50x = 64,924,823,612.25
  5. Step 5: Solve for x
    x = 64,924,823,612.25/118,072.50
  6. Step 6: Final answer
    x = 549,872.52

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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.