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Finding the Third Proportional to 42,365 and 91,702

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Solution

The third proportional to 42,365 and 91,702 is: 198,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,365 : 91,702 = 91,702 : x
  2. Step 2: Convert to fraction form
    42,365/91,702 = 91,702/x
  3. Step 3: Cross multiply
    42,365x = 91,702 × 91,702
  4. Step 4: Simplify right side
    42,365x = 8,409,256,804
  5. Step 5: Solve for x
    x = 8,409,256,804/42,365
  6. Step 6: Final answer
    x = 198,495.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.