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Finding the Third Proportional to 39,095 and 84,113

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Solution

The third proportional to 39,095 and 84,113 is: 180,969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,095 : 84,113 = 84,113 : x
  2. Step 2: Convert to fraction form
    39,095/84,113 = 84,113/x
  3. Step 3: Cross multiply
    39,095x = 84,113 × 84,113
  4. Step 4: Simplify right side
    39,095x = 7,074,996,769
  5. Step 5: Solve for x
    x = 7,074,996,769/39,095
  6. Step 6: Final answer
    x = 180,969.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.