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Finding the Third Proportional to 61,042 and 131,290

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Solution

The third proportional to 61,042 and 131,290 is: 282,380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,042 : 131,290 = 131,290 : x
  2. Step 2: Convert to fraction form
    61,042/131,290 = 131,290/x
  3. Step 3: Cross multiply
    61,042x = 131,290 × 131,290
  4. Step 4: Simplify right side
    61,042x = 17,237,064,100
  5. Step 5: Solve for x
    x = 17,237,064,100/61,042
  6. Step 6: Final answer
    x = 282,380.40

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.