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Finding the Third Proportional to 53,568 and 79,258.50

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Solution

The third proportional to 53,568 and 79,258.50 is: 117,269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,568 : 79,258.50 = 79,258.50 : x
  2. Step 2: Convert to fraction form
    53,568/79,258.50 = 79,258.50/x
  3. Step 3: Cross multiply
    53,568x = 79,258.50 × 79,258.50
  4. Step 4: Simplify right side
    53,568x = 6,281,909,822.25
  5. Step 5: Solve for x
    x = 6,281,909,822.25/53,568
  6. Step 6: Final answer
    x = 117,269.82

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.