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Finding the Third Proportional to 84,328 and 127,046

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Solution

The third proportional to 84,328 and 127,046 is: 191,403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,328 : 127,046 = 127,046 : x
  2. Step 2: Convert to fraction form
    84,328/127,046 = 127,046/x
  3. Step 3: Cross multiply
    84,328x = 127,046 × 127,046
  4. Step 4: Simplify right side
    84,328x = 16,140,686,116
  5. Step 5: Solve for x
    x = 16,140,686,116/84,328
  6. Step 6: Final answer
    x = 191,403.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.