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Finding the Third Proportional to 84,634 and 124,332

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Solution

The third proportional to 84,634 and 124,332 is: 182,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,634 : 124,332 = 124,332 : x
  2. Step 2: Convert to fraction form
    84,634/124,332 = 124,332/x
  3. Step 3: Cross multiply
    84,634x = 124,332 × 124,332
  4. Step 4: Simplify right side
    84,634x = 15,458,446,224
  5. Step 5: Solve for x
    x = 15,458,446,224/84,634
  6. Step 6: Final answer
    x = 182,650.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.