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Finding the Third Proportional to 58,116 and 127,308

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Solution

The third proportional to 58,116 and 127,308 is: 278,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,116 : 127,308 = 127,308 : x
  2. Step 2: Convert to fraction form
    58,116/127,308 = 127,308/x
  3. Step 3: Cross multiply
    58,116x = 127,308 × 127,308
  4. Step 4: Simplify right side
    58,116x = 16,207,326,864
  5. Step 5: Solve for x
    x = 16,207,326,864/58,116
  6. Step 6: Final answer
    x = 278,878.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.