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Finding the Third Proportional to 63,090 and 138,456

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Solution

The third proportional to 63,090 and 138,456 is: 303,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,090 : 138,456 = 138,456 : x
  2. Step 2: Convert to fraction form
    63,090/138,456 = 138,456/x
  3. Step 3: Cross multiply
    63,090x = 138,456 × 138,456
  4. Step 4: Simplify right side
    63,090x = 19,170,063,936
  5. Step 5: Solve for x
    x = 19,170,063,936/63,090
  6. Step 6: Final answer
    x = 303,852.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.