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Finding the Third Proportional to 105,094 and 158,730.50

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Solution

The third proportional to 105,094 and 158,730.50 is: 239,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,094 : 158,730.50 = 158,730.50 : x
  2. Step 2: Convert to fraction form
    105,094/158,730.50 = 158,730.50/x
  3. Step 3: Cross multiply
    105,094x = 158,730.50 × 158,730.50
  4. Step 4: Simplify right side
    105,094x = 25,195,371,630.25
  5. Step 5: Solve for x
    x = 25,195,371,630.25/105,094
  6. Step 6: Final answer
    x = 239,741.29

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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.