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Finding the Third Proportional to 39,617 and 88,090

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Solution

The third proportional to 39,617 and 88,090 is: 195,871.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,617 : 88,090 = 88,090 : x
  2. Step 2: Convert to fraction form
    39,617/88,090 = 88,090/x
  3. Step 3: Cross multiply
    39,617x = 88,090 × 88,090
  4. Step 4: Simplify right side
    39,617x = 7,759,848,100
  5. Step 5: Solve for x
    x = 7,759,848,100/39,617
  6. Step 6: Final answer
    x = 195,871.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.