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Finding the Third Proportional to 73,873.69 and 114,275.81

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Solution

The third proportional to 73,873.69 and 114,275.81 is: 176,774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,873.69 : 114,275.81 = 114,275.81 : x
  2. Step 2: Convert to fraction form
    73,873.69/114,275.81 = 114,275.81/x
  3. Step 3: Cross multiply
    73,873.69x = 114,275.81 × 114,275.81
  4. Step 4: Simplify right side
    73,873.69x = 13,058,961,322.54
  5. Step 5: Solve for x
    x = 13,058,961,322.54/73,873.69
  6. Step 6: Final answer
    x = 176,774.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.