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Finding the Third Proportional to 58,968 and 128,196

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Solution

The third proportional to 58,968 and 128,196 is: 278,697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,968 : 128,196 = 128,196 : x
  2. Step 2: Convert to fraction form
    58,968/128,196 = 128,196/x
  3. Step 3: Cross multiply
    58,968x = 128,196 × 128,196
  4. Step 4: Simplify right side
    58,968x = 16,434,214,416
  5. Step 5: Solve for x
    x = 16,434,214,416/58,968
  6. Step 6: Final answer
    x = 278,697.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.