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Finding the Third Proportional to 112,904.81 and 165,117.75

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Solution

The third proportional to 112,904.81 and 165,117.75 is: 241,476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,904.81 : 165,117.75 = 165,117.75 : x
  2. Step 2: Convert to fraction form
    112,904.81/165,117.75 = 165,117.75/x
  3. Step 3: Cross multiply
    112,904.81x = 165,117.75 × 165,117.75
  4. Step 4: Simplify right side
    112,904.81x = 27,263,871,365.06
  5. Step 5: Solve for x
    x = 27,263,871,365.06/112,904.81
  6. Step 6: Final answer
    x = 241,476.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.