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Finding the Third Proportional to 120,023 and 193,335

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Solution

The third proportional to 120,023 and 193,335 is: 311,427.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,023 : 193,335 = 193,335 : x
  2. Step 2: Convert to fraction form
    120,023/193,335 = 193,335/x
  3. Step 3: Cross multiply
    120,023x = 193,335 × 193,335
  4. Step 4: Simplify right side
    120,023x = 37,378,422,225
  5. Step 5: Solve for x
    x = 37,378,422,225/120,023
  6. Step 6: Final answer
    x = 311,427.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.