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Finding the Third Proportional to 63,038 and 134,420

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Solution

The third proportional to 63,038 and 134,420 is: 286,632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,038 : 134,420 = 134,420 : x
  2. Step 2: Convert to fraction form
    63,038/134,420 = 134,420/x
  3. Step 3: Cross multiply
    63,038x = 134,420 × 134,420
  4. Step 4: Simplify right side
    63,038x = 18,068,736,400
  5. Step 5: Solve for x
    x = 18,068,736,400/63,038
  6. Step 6: Final answer
    x = 286,632.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.