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Finding the Third Proportional to 71,724 and 103,158

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Solution

The third proportional to 71,724 and 103,158 is: 148,368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724 : 103,158 = 103,158 : x
  2. Step 2: Convert to fraction form
    71,724/103,158 = 103,158/x
  3. Step 3: Cross multiply
    71,724x = 103,158 × 103,158
  4. Step 4: Simplify right side
    71,724x = 10,641,572,964
  5. Step 5: Solve for x
    x = 10,641,572,964/71,724
  6. Step 6: Final answer
    x = 148,368.37

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.