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Finding the Third Proportional to 78,533 and 125,083

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Solution

The third proportional to 78,533 and 125,083 is: 199,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,533 : 125,083 = 125,083 : x
  2. Step 2: Convert to fraction form
    78,533/125,083 = 125,083/x
  3. Step 3: Cross multiply
    78,533x = 125,083 × 125,083
  4. Step 4: Simplify right side
    78,533x = 15,645,756,889
  5. Step 5: Solve for x
    x = 15,645,756,889/78,533
  6. Step 6: Final answer
    x = 199,225.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.