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Finding the Third Proportional to 122,046 and 186,957

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Solution

The third proportional to 122,046 and 186,957 is: 286,391.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,046 : 186,957 = 186,957 : x
  2. Step 2: Convert to fraction form
    122,046/186,957 = 186,957/x
  3. Step 3: Cross multiply
    122,046x = 186,957 × 186,957
  4. Step 4: Simplify right side
    122,046x = 34,952,919,849
  5. Step 5: Solve for x
    x = 34,952,919,849/122,046
  6. Step 6: Final answer
    x = 286,391.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.