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Finding the Third Proportional to 58,286 and 127,110.50

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Solution

The third proportional to 58,286 and 127,110.50 is: 277,203.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,286 : 127,110.50 = 127,110.50 : x
  2. Step 2: Convert to fraction form
    58,286/127,110.50 = 127,110.50/x
  3. Step 3: Cross multiply
    58,286x = 127,110.50 × 127,110.50
  4. Step 4: Simplify right side
    58,286x = 16,157,079,210.25
  5. Step 5: Solve for x
    x = 16,157,079,210.25/58,286
  6. Step 6: Final answer
    x = 277,203.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.