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Finding the Third Proportional to 63,056 and 128,176

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Solution

The third proportional to 63,056 and 128,176 is: 260,547.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,056 : 128,176 = 128,176 : x
  2. Step 2: Convert to fraction form
    63,056/128,176 = 128,176/x
  3. Step 3: Cross multiply
    63,056x = 128,176 × 128,176
  4. Step 4: Simplify right side
    63,056x = 16,429,086,976
  5. Step 5: Solve for x
    x = 16,429,086,976/63,056
  6. Step 6: Final answer
    x = 260,547.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.