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Finding the Third Proportional to 70,237.69 and 114,116.06

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Solution

The third proportional to 70,237.69 and 114,116.06 is: 185,405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,237.69 : 114,116.06 = 114,116.06 : x
  2. Step 2: Convert to fraction form
    70,237.69/114,116.06 = 114,116.06/x
  3. Step 3: Cross multiply
    70,237.69x = 114,116.06 × 114,116.06
  4. Step 4: Simplify right side
    70,237.69x = 13,022,475,720.50
  5. Step 5: Solve for x
    x = 13,022,475,720.50/70,237.69
  6. Step 6: Final answer
    x = 185,405.82

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.