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Finding the Third Proportional to 58,316 and 127,192

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Solution

The third proportional to 58,316 and 127,192 is: 277,416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,316 : 127,192 = 127,192 : x
  2. Step 2: Convert to fraction form
    58,316/127,192 = 127,192/x
  3. Step 3: Cross multiply
    58,316x = 127,192 × 127,192
  4. Step 4: Simplify right side
    58,316x = 16,177,804,864
  5. Step 5: Solve for x
    x = 16,177,804,864/58,316
  6. Step 6: Final answer
    x = 277,416.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.