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Finding the Third Proportional to 78,370.50 and 112,027.50

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Solution

The third proportional to 78,370.50 and 112,027.50 is: 160,138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,370.50 : 112,027.50 = 112,027.50 : x
  2. Step 2: Convert to fraction form
    78,370.50/112,027.50 = 112,027.50/x
  3. Step 3: Cross multiply
    78,370.50x = 112,027.50 × 112,027.50
  4. Step 4: Simplify right side
    78,370.50x = 12,550,160,756.25
  5. Step 5: Solve for x
    x = 12,550,160,756.25/78,370.50
  6. Step 6: Final answer
    x = 160,138.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.