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Finding the Third Proportional to 61,319 and 131,386

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Solution

The third proportional to 61,319 and 131,386 is: 281,516.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,319 : 131,386 = 131,386 : x
  2. Step 2: Convert to fraction form
    61,319/131,386 = 131,386/x
  3. Step 3: Cross multiply
    61,319x = 131,386 × 131,386
  4. Step 4: Simplify right side
    61,319x = 17,262,280,996
  5. Step 5: Solve for x
    x = 17,262,280,996/61,319
  6. Step 6: Final answer
    x = 281,516.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.