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Finding the Third Proportional to 31,108.50 and 70,420.50

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Solution

The third proportional to 31,108.50 and 70,420.50 is: 159,411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,108.50 : 70,420.50 = 70,420.50 : x
  2. Step 2: Convert to fraction form
    31,108.50/70,420.50 = 70,420.50/x
  3. Step 3: Cross multiply
    31,108.50x = 70,420.50 × 70,420.50
  4. Step 4: Simplify right side
    31,108.50x = 4,959,046,820.25
  5. Step 5: Solve for x
    x = 4,959,046,820.25/31,108.50
  6. Step 6: Final answer
    x = 159,411.31

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.