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Finding the Third Proportional to 84,235 and 123,058

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Solution

The third proportional to 84,235 and 123,058 is: 179,774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,235 : 123,058 = 123,058 : x
  2. Step 2: Convert to fraction form
    84,235/123,058 = 123,058/x
  3. Step 3: Cross multiply
    84,235x = 123,058 × 123,058
  4. Step 4: Simplify right side
    84,235x = 15,143,271,364
  5. Step 5: Solve for x
    x = 15,143,271,364/84,235
  6. Step 6: Final answer
    x = 179,774.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.