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Finding the Third Proportional to 61,090 and 134,436

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Solution

The third proportional to 61,090 and 134,436 is: 295,842.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,090 : 134,436 = 134,436 : x
  2. Step 2: Convert to fraction form
    61,090/134,436 = 134,436/x
  3. Step 3: Cross multiply
    61,090x = 134,436 × 134,436
  4. Step 4: Simplify right side
    61,090x = 18,073,038,096
  5. Step 5: Solve for x
    x = 18,073,038,096/61,090
  6. Step 6: Final answer
    x = 295,842.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.