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Finding the Third Proportional to 53,746.13 and 111,903.75

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Solution

The third proportional to 53,746.13 and 111,903.75 is: 232,992.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,746.13 : 111,903.75 = 111,903.75 : x
  2. Step 2: Convert to fraction form
    53,746.13/111,903.75 = 111,903.75/x
  3. Step 3: Cross multiply
    53,746.13x = 111,903.75 × 111,903.75
  4. Step 4: Simplify right side
    53,746.13x = 12,522,449,264.06
  5. Step 5: Solve for x
    x = 12,522,449,264.06/53,746.13
  6. Step 6: Final answer
    x = 232,992.60

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.