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Finding the Third Proportional to 83,746 and 124,083

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Solution

The third proportional to 83,746 and 124,083 is: 183,848.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,746 : 124,083 = 124,083 : x
  2. Step 2: Convert to fraction form
    83,746/124,083 = 124,083/x
  3. Step 3: Cross multiply
    83,746x = 124,083 × 124,083
  4. Step 4: Simplify right side
    83,746x = 15,396,590,889
  5. Step 5: Solve for x
    x = 15,396,590,889/83,746
  6. Step 6: Final answer
    x = 183,848.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.