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Finding the Third Proportional to 112,952 and 248,056

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Solution

The third proportional to 112,952 and 248,056 is: 544,760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,952 : 248,056 = 248,056 : x
  2. Step 2: Convert to fraction form
    112,952/248,056 = 248,056/x
  3. Step 3: Cross multiply
    112,952x = 248,056 × 248,056
  4. Step 4: Simplify right side
    112,952x = 61,531,779,136
  5. Step 5: Solve for x
    x = 61,531,779,136/112,952
  6. Step 6: Final answer
    x = 544,760.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.