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Finding the Third Proportional to 63,275 and 128,368

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Solution

The third proportional to 63,275 and 128,368 is: 260,424.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,275 : 128,368 = 128,368 : x
  2. Step 2: Convert to fraction form
    63,275/128,368 = 128,368/x
  3. Step 3: Cross multiply
    63,275x = 128,368 × 128,368
  4. Step 4: Simplify right side
    63,275x = 16,478,343,424
  5. Step 5: Solve for x
    x = 16,478,343,424/63,275
  6. Step 6: Final answer
    x = 260,424.23

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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.