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Finding the Third Proportional to 122,927.06 and 185,521.36

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Solution

The third proportional to 122,927.06 and 185,521.36 is: 279,988.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,927.06 : 185,521.36 = 185,521.36 : x
  2. Step 2: Convert to fraction form
    122,927.06/185,521.36 = 185,521.36/x
  3. Step 3: Cross multiply
    122,927.06x = 185,521.36 × 185,521.36
  4. Step 4: Simplify right side
    122,927.06x = 34,418,174,784.35
  5. Step 5: Solve for x
    x = 34,418,174,784.35/122,927.06
  6. Step 6: Final answer
    x = 279,988.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.