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Finding the Third Proportional to 52,727 and 124,464.50

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Solution

The third proportional to 52,727 and 124,464.50 is: 293,804.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,727 : 124,464.50 = 124,464.50 : x
  2. Step 2: Convert to fraction form
    52,727/124,464.50 = 124,464.50/x
  3. Step 3: Cross multiply
    52,727x = 124,464.50 × 124,464.50
  4. Step 4: Simplify right side
    52,727x = 15,491,411,760.25
  5. Step 5: Solve for x
    x = 15,491,411,760.25/52,727
  6. Step 6: Final answer
    x = 293,804.16

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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.