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Finding the Third Proportional to 61,735.50 and 136,323

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Solution

The third proportional to 61,735.50 and 136,323 is: 301,025.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,735.50 : 136,323 = 136,323 : x
  2. Step 2: Convert to fraction form
    61,735.50/136,323 = 136,323/x
  3. Step 3: Cross multiply
    61,735.50x = 136,323 × 136,323
  4. Step 4: Simplify right side
    61,735.50x = 18,583,960,329
  5. Step 5: Solve for x
    x = 18,583,960,329/61,735.50
  6. Step 6: Final answer
    x = 301,025.51

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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.