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Finding the Third Proportional to 52,724.25 and 124,457.63

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Solution

The third proportional to 52,724.25 and 124,457.63 is: 293,787.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,724.25 : 124,457.63 = 124,457.63 : x
  2. Step 2: Convert to fraction form
    52,724.25/124,457.63 = 124,457.63/x
  3. Step 3: Cross multiply
    52,724.25x = 124,457.63 × 124,457.63
  4. Step 4: Simplify right side
    52,724.25x = 15,489,700,420.64
  5. Step 5: Solve for x
    x = 15,489,700,420.64/52,724.25
  6. Step 6: Final answer
    x = 293,787.02

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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.