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Finding the Third Proportional to 31,567.50 and 70,142

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Solution

The third proportional to 31,567.50 and 70,142 is: 155,853.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,567.50 : 70,142 = 70,142 : x
  2. Step 2: Convert to fraction form
    31,567.50/70,142 = 70,142/x
  3. Step 3: Cross multiply
    31,567.50x = 70,142 × 70,142
  4. Step 4: Simplify right side
    31,567.50x = 4,919,900,164
  5. Step 5: Solve for x
    x = 4,919,900,164/31,567.50
  6. Step 6: Final answer
    x = 155,853.34

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