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Finding the Third Proportional to 39,046 and 85,160

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Solution

The third proportional to 39,046 and 85,160 is: 185,735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,046 : 85,160 = 85,160 : x
  2. Step 2: Convert to fraction form
    39,046/85,160 = 85,160/x
  3. Step 3: Cross multiply
    39,046x = 85,160 × 85,160
  4. Step 4: Simplify right side
    39,046x = 7,252,225,600
  5. Step 5: Solve for x
    x = 7,252,225,600/39,046
  6. Step 6: Final answer
    x = 185,735.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.