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Finding the Third Proportional to 61,176 and 135,453.75

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Solution

The third proportional to 61,176 and 135,453.75 is: 299,916.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,176 : 135,453.75 = 135,453.75 : x
  2. Step 2: Convert to fraction form
    61,176/135,453.75 = 135,453.75/x
  3. Step 3: Cross multiply
    61,176x = 135,453.75 × 135,453.75
  4. Step 4: Simplify right side
    61,176x = 18,347,718,389.06
  5. Step 5: Solve for x
    x = 18,347,718,389.06/61,176
  6. Step 6: Final answer
    x = 299,916.93

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.