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Finding the Third Proportional to 58,358 and 127,278

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Solution

The third proportional to 58,358 and 127,278 is: 277,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,358 : 127,278 = 127,278 : x
  2. Step 2: Convert to fraction form
    58,358/127,278 = 127,278/x
  3. Step 3: Cross multiply
    58,358x = 127,278 × 127,278
  4. Step 4: Simplify right side
    58,358x = 16,199,689,284
  5. Step 5: Solve for x
    x = 16,199,689,284/58,358
  6. Step 6: Final answer
    x = 277,591.58

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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.