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Finding the Third Proportional to 25,254 and 55,066.50

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Solution

The third proportional to 25,254 and 55,066.50 is: 120,072.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,254 : 55,066.50 = 55,066.50 : x
  2. Step 2: Convert to fraction form
    25,254/55,066.50 = 55,066.50/x
  3. Step 3: Cross multiply
    25,254x = 55,066.50 × 55,066.50
  4. Step 4: Simplify right side
    25,254x = 3,032,319,422.25
  5. Step 5: Solve for x
    x = 3,032,319,422.25/25,254
  6. Step 6: Final answer
    x = 120,072.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.