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Finding the Third Proportional to 57,537 and 83,173.50

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Solution

The third proportional to 57,537 and 83,173.50 is: 120,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,537 : 83,173.50 = 83,173.50 : x
  2. Step 2: Convert to fraction form
    57,537/83,173.50 = 83,173.50/x
  3. Step 3: Cross multiply
    57,537x = 83,173.50 × 83,173.50
  4. Step 4: Simplify right side
    57,537x = 6,917,831,102.25
  5. Step 5: Solve for x
    x = 6,917,831,102.25/57,537
  6. Step 6: Final answer
    x = 120,232.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.