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Finding the Third Proportional to 127,050 and 185,805.75

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Solution

The third proportional to 127,050 and 185,805.75 is: 271,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,050 : 185,805.75 = 185,805.75 : x
  2. Step 2: Convert to fraction form
    127,050/185,805.75 = 185,805.75/x
  3. Step 3: Cross multiply
    127,050x = 185,805.75 × 185,805.75
  4. Step 4: Simplify right side
    127,050x = 34,523,776,733.06
  5. Step 5: Solve for x
    x = 34,523,776,733.06/127,050
  6. Step 6: Final answer
    x = 271,733.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.