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Finding the Third Proportional to 40,114 and 62,365

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Solution

The third proportional to 40,114 and 62,365 is: 96,958.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,114 : 62,365 = 62,365 : x
  2. Step 2: Convert to fraction form
    40,114/62,365 = 62,365/x
  3. Step 3: Cross multiply
    40,114x = 62,365 × 62,365
  4. Step 4: Simplify right side
    40,114x = 3,889,393,225
  5. Step 5: Solve for x
    x = 3,889,393,225/40,114
  6. Step 6: Final answer
    x = 96,958.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.