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Finding the Third Proportional to 85,319 and 125,792

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Solution

The third proportional to 85,319 and 125,792 is: 185,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,319 : 125,792 = 125,792 : x
  2. Step 2: Convert to fraction form
    85,319/125,792 = 125,792/x
  3. Step 3: Cross multiply
    85,319x = 125,792 × 125,792
  4. Step 4: Simplify right side
    85,319x = 15,823,627,264
  5. Step 5: Solve for x
    x = 15,823,627,264/85,319
  6. Step 6: Final answer
    x = 185,464.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.