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Finding the Third Proportional to 84,890 and 124,851

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Solution

The third proportional to 84,890 and 124,851 is: 183,623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,890 : 124,851 = 124,851 : x
  2. Step 2: Convert to fraction form
    84,890/124,851 = 124,851/x
  3. Step 3: Cross multiply
    84,890x = 124,851 × 124,851
  4. Step 4: Simplify right side
    84,890x = 15,587,772,201
  5. Step 5: Solve for x
    x = 15,587,772,201/84,890
  6. Step 6: Final answer
    x = 183,623.19

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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.