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Finding the Third Proportional to 55,652 and 85,323

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Solution

The third proportional to 55,652 and 85,323 is: 130,813.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,652 : 85,323 = 85,323 : x
  2. Step 2: Convert to fraction form
    55,652/85,323 = 85,323/x
  3. Step 3: Cross multiply
    55,652x = 85,323 × 85,323
  4. Step 4: Simplify right side
    55,652x = 7,280,014,329
  5. Step 5: Solve for x
    x = 7,280,014,329/55,652
  6. Step 6: Final answer
    x = 130,813.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.