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Finding the Third Proportional to 70,588.50 and 110,050.50

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Solution

The third proportional to 70,588.50 and 110,050.50 is: 171,573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,588.50 : 110,050.50 = 110,050.50 : x
  2. Step 2: Convert to fraction form
    70,588.50/110,050.50 = 110,050.50/x
  3. Step 3: Cross multiply
    70,588.50x = 110,050.50 × 110,050.50
  4. Step 4: Simplify right side
    70,588.50x = 12,111,112,550.25
  5. Step 5: Solve for x
    x = 12,111,112,550.25/70,588.50
  6. Step 6: Final answer
    x = 171,573.45

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.