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Finding the Third Proportional to 39,085 and 85,522

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Solution

The third proportional to 39,085 and 85,522 is: 187,130.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,085 : 85,522 = 85,522 : x
  2. Step 2: Convert to fraction form
    39,085/85,522 = 85,522/x
  3. Step 3: Cross multiply
    39,085x = 85,522 × 85,522
  4. Step 4: Simplify right side
    39,085x = 7,314,012,484
  5. Step 5: Solve for x
    x = 7,314,012,484/39,085
  6. Step 6: Final answer
    x = 187,130.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.