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Finding the Third Proportional to 42,378.75 and 94,050

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Solution

The third proportional to 42,378.75 and 94,050 is: 208,722.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,378.75 : 94,050 = 94,050 : x
  2. Step 2: Convert to fraction form
    42,378.75/94,050 = 94,050/x
  3. Step 3: Cross multiply
    42,378.75x = 94,050 × 94,050
  4. Step 4: Simplify right side
    42,378.75x = 8,845,402,500
  5. Step 5: Solve for x
    x = 8,845,402,500/42,378.75
  6. Step 6: Final answer
    x = 208,722.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.