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Finding the Third Proportional to 71,037 and 108,985.50

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Solution

The third proportional to 71,037 and 108,985.50 is: 167,206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,037 : 108,985.50 = 108,985.50 : x
  2. Step 2: Convert to fraction form
    71,037/108,985.50 = 108,985.50/x
  3. Step 3: Cross multiply
    71,037x = 108,985.50 × 108,985.50
  4. Step 4: Simplify right side
    71,037x = 11,877,839,210.25
  5. Step 5: Solve for x
    x = 11,877,839,210.25/71,037
  6. Step 6: Final answer
    x = 167,206.37

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.