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Finding the Third Proportional to 49,258.13 and 72,140.63

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Solution

The third proportional to 49,258.13 and 72,140.63 is: 105,653.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,258.13 : 72,140.63 = 72,140.63 : x
  2. Step 2: Convert to fraction form
    49,258.13/72,140.63 = 72,140.63/x
  3. Step 3: Cross multiply
    49,258.13x = 72,140.63 × 72,140.63
  4. Step 4: Simplify right side
    49,258.13x = 5,204,269,775.39
  5. Step 5: Solve for x
    x = 5,204,269,775.39/49,258.13
  6. Step 6: Final answer
    x = 105,653.02

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