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Finding the Third Proportional to 118,069 and 254,795

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Solution

The third proportional to 118,069 and 254,795 is: 549,852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,069 : 254,795 = 254,795 : x
  2. Step 2: Convert to fraction form
    118,069/254,795 = 254,795/x
  3. Step 3: Cross multiply
    118,069x = 254,795 × 254,795
  4. Step 4: Simplify right side
    118,069x = 64,920,492,025
  5. Step 5: Solve for x
    x = 64,920,492,025/118,069
  6. Step 6: Final answer
    x = 549,852.14

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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.