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Finding the Third Proportional to 48,726 and 110,054.25

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Solution

The third proportional to 48,726 and 110,054.25 is: 248,572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,726 : 110,054.25 = 110,054.25 : x
  2. Step 2: Convert to fraction form
    48,726/110,054.25 = 110,054.25/x
  3. Step 3: Cross multiply
    48,726x = 110,054.25 × 110,054.25
  4. Step 4: Simplify right side
    48,726x = 12,111,937,943.06
  5. Step 5: Solve for x
    x = 12,111,937,943.06/48,726
  6. Step 6: Final answer
    x = 248,572.38

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.