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Finding the Third Proportional to 123,056 and 189,778

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Solution

The third proportional to 123,056 and 189,778 is: 292,677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,056 : 189,778 = 189,778 : x
  2. Step 2: Convert to fraction form
    123,056/189,778 = 189,778/x
  3. Step 3: Cross multiply
    123,056x = 189,778 × 189,778
  4. Step 4: Simplify right side
    123,056x = 36,015,689,284
  5. Step 5: Solve for x
    x = 36,015,689,284/123,056
  6. Step 6: Final answer
    x = 292,677.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.