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Finding the Third Proportional to 61,090 and 128,740

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Solution

The third proportional to 61,090 and 128,740 is: 271,304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,090 : 128,740 = 128,740 : x
  2. Step 2: Convert to fraction form
    61,090/128,740 = 128,740/x
  3. Step 3: Cross multiply
    61,090x = 128,740 × 128,740
  4. Step 4: Simplify right side
    61,090x = 16,573,987,600
  5. Step 5: Solve for x
    x = 16,573,987,600/61,090
  6. Step 6: Final answer
    x = 271,304.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.