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Finding the Third Proportional to 84,043 and 124,871

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Solution

The third proportional to 84,043 and 124,871 is: 185,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,043 : 124,871 = 124,871 : x
  2. Step 2: Convert to fraction form
    84,043/124,871 = 124,871/x
  3. Step 3: Cross multiply
    84,043x = 124,871 × 124,871
  4. Step 4: Simplify right side
    84,043x = 15,592,766,641
  5. Step 5: Solve for x
    x = 15,592,766,641/84,043
  6. Step 6: Final answer
    x = 185,533.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.