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Finding the Third Proportional to 122,910.75 and 185,490

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Solution

The third proportional to 122,910.75 and 185,490 is: 279,931.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,910.75 : 185,490 = 185,490 : x
  2. Step 2: Convert to fraction form
    122,910.75/185,490 = 185,490/x
  3. Step 3: Cross multiply
    122,910.75x = 185,490 × 185,490
  4. Step 4: Simplify right side
    122,910.75x = 34,406,540,100
  5. Step 5: Solve for x
    x = 34,406,540,100/122,910.75
  6. Step 6: Final answer
    x = 279,931.09

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