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Finding the Third Proportional to 105,008.50 and 158,370

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Solution

The third proportional to 105,008.50 and 158,370 is: 238,847.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,008.50 : 158,370 = 158,370 : x
  2. Step 2: Convert to fraction form
    105,008.50/158,370 = 158,370/x
  3. Step 3: Cross multiply
    105,008.50x = 158,370 × 158,370
  4. Step 4: Simplify right side
    105,008.50x = 25,081,056,900
  5. Step 5: Solve for x
    x = 25,081,056,900/105,008.50
  6. Step 6: Final answer
    x = 238,847.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.