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Finding the Third Proportional to 123,018 and 189,783

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Solution

The third proportional to 123,018 and 189,783 is: 292,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,018 : 189,783 = 189,783 : x
  2. Step 2: Convert to fraction form
    123,018/189,783 = 189,783/x
  3. Step 3: Cross multiply
    123,018x = 189,783 × 189,783
  4. Step 4: Simplify right side
    123,018x = 36,017,587,089
  5. Step 5: Solve for x
    x = 36,017,587,089/123,018
  6. Step 6: Final answer
    x = 292,783.06

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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.