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Finding the Third Proportional to 52,062 and 76,365

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Solution

The third proportional to 52,062 and 76,365 is: 112,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,062 : 76,365 = 76,365 : x
  2. Step 2: Convert to fraction form
    52,062/76,365 = 76,365/x
  3. Step 3: Cross multiply
    52,062x = 76,365 × 76,365
  4. Step 4: Simplify right side
    52,062x = 5,831,613,225
  5. Step 5: Solve for x
    x = 5,831,613,225/52,062
  6. Step 6: Final answer
    x = 112,012.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.