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Finding the Third Proportional to 53,068.50 and 125,097.75

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Solution

The third proportional to 53,068.50 and 125,097.75 is: 294,891.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,068.50 : 125,097.75 = 125,097.75 : x
  2. Step 2: Convert to fraction form
    53,068.50/125,097.75 = 125,097.75/x
  3. Step 3: Cross multiply
    53,068.50x = 125,097.75 × 125,097.75
  4. Step 4: Simplify right side
    53,068.50x = 15,649,447,055.06
  5. Step 5: Solve for x
    x = 15,649,447,055.06/53,068.50
  6. Step 6: Final answer
    x = 294,891.45

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.