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Finding the Third Proportional to 58,557 and 127,806

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Solution

The third proportional to 58,557 and 127,806 is: 278,948.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,557 : 127,806 = 127,806 : x
  2. Step 2: Convert to fraction form
    58,557/127,806 = 127,806/x
  3. Step 3: Cross multiply
    58,557x = 127,806 × 127,806
  4. Step 4: Simplify right side
    58,557x = 16,334,373,636
  5. Step 5: Solve for x
    x = 16,334,373,636/58,557
  6. Step 6: Final answer
    x = 278,948.27

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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.