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Finding the Third Proportional to 84,339 and 127,064.25

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Solution

The third proportional to 84,339 and 127,064.25 is: 191,433.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,339 : 127,064.25 = 127,064.25 : x
  2. Step 2: Convert to fraction form
    84,339/127,064.25 = 127,064.25/x
  3. Step 3: Cross multiply
    84,339x = 127,064.25 × 127,064.25
  4. Step 4: Simplify right side
    84,339x = 16,145,323,628.06
  5. Step 5: Solve for x
    x = 16,145,323,628.06/84,339
  6. Step 6: Final answer
    x = 191,433.66

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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.