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Finding the Third Proportional to 45,041.13 and 104,258.13

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Solution

The third proportional to 45,041.13 and 104,258.13 is: 241,329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,041.13 : 104,258.13 = 104,258.13 : x
  2. Step 2: Convert to fraction form
    45,041.13/104,258.13 = 104,258.13/x
  3. Step 3: Cross multiply
    45,041.13x = 104,258.13 × 104,258.13
  4. Step 4: Simplify right side
    45,041.13x = 10,869,756,628.52
  5. Step 5: Solve for x
    x = 10,869,756,628.52/45,041.13
  6. Step 6: Final answer
    x = 241,329.60

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.