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Finding the Third Proportional to 52,528 and 113,476

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Solution

The third proportional to 52,528 and 113,476 is: 245,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,528 : 113,476 = 113,476 : x
  2. Step 2: Convert to fraction form
    52,528/113,476 = 113,476/x
  3. Step 3: Cross multiply
    52,528x = 113,476 × 113,476
  4. Step 4: Simplify right side
    52,528x = 12,876,802,576
  5. Step 5: Solve for x
    x = 12,876,802,576/52,528
  6. Step 6: Final answer
    x = 245,141.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.