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Finding the Third Proportional to 31,154.81 and 67,567.88

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Solution

The third proportional to 31,154.81 and 67,567.88 is: 146,539.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,154.81 : 67,567.88 = 67,567.88 : x
  2. Step 2: Convert to fraction form
    31,154.81/67,567.88 = 67,567.88/x
  3. Step 3: Cross multiply
    31,154.81x = 67,567.88 × 67,567.88
  4. Step 4: Simplify right side
    31,154.81x = 4,565,417,732.02
  5. Step 5: Solve for x
    x = 4,565,417,732.02/31,154.81
  6. Step 6: Final answer
    x = 146,539.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.