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Finding the Third Proportional to 67,267.50 and 105,534

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Solution

The third proportional to 67,267.50 and 105,534 is: 165,569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,267.50 : 105,534 = 105,534 : x
  2. Step 2: Convert to fraction form
    67,267.50/105,534 = 105,534/x
  3. Step 3: Cross multiply
    67,267.50x = 105,534 × 105,534
  4. Step 4: Simplify right side
    67,267.50x = 11,137,425,156
  5. Step 5: Solve for x
    x = 11,137,425,156/67,267.50
  6. Step 6: Final answer
    x = 165,569.19

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.