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Finding the Third Proportional to 111,088 and 235,056

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Solution

The third proportional to 111,088 and 235,056 is: 497,365.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,088 : 235,056 = 235,056 : x
  2. Step 2: Convert to fraction form
    111,088/235,056 = 235,056/x
  3. Step 3: Cross multiply
    111,088x = 235,056 × 235,056
  4. Step 4: Simplify right side
    111,088x = 55,251,323,136
  5. Step 5: Solve for x
    x = 55,251,323,136/111,088
  6. Step 6: Final answer
    x = 497,365.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.