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Finding the Third Proportional to 61,051 and 130,861.75

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Solution

The third proportional to 61,051 and 130,861.75 is: 280,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,051 : 130,861.75 = 130,861.75 : x
  2. Step 2: Convert to fraction form
    61,051/130,861.75 = 130,861.75/x
  3. Step 3: Cross multiply
    61,051x = 130,861.75 × 130,861.75
  4. Step 4: Simplify right side
    61,051x = 17,124,797,613.06
  5. Step 5: Solve for x
    x = 17,124,797,613.06/61,051
  6. Step 6: Final answer
    x = 280,499.87

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Why These Related Problems?

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