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Finding the Third Proportional to 60,496 and 128,672

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Solution

The third proportional to 60,496 and 128,672 is: 273,678.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,496 : 128,672 = 128,672 : x
  2. Step 2: Convert to fraction form
    60,496/128,672 = 128,672/x
  3. Step 3: Cross multiply
    60,496x = 128,672 × 128,672
  4. Step 4: Simplify right side
    60,496x = 16,556,483,584
  5. Step 5: Solve for x
    x = 16,556,483,584/60,496
  6. Step 6: Final answer
    x = 273,678.98

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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.