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Finding the Third Proportional to 58,989 and 127,817

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Solution

The third proportional to 58,989 and 127,817 is: 276,953.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,989 : 127,817 = 127,817 : x
  2. Step 2: Convert to fraction form
    58,989/127,817 = 127,817/x
  3. Step 3: Cross multiply
    58,989x = 127,817 × 127,817
  4. Step 4: Simplify right side
    58,989x = 16,337,185,489
  5. Step 5: Solve for x
    x = 16,337,185,489/58,989
  6. Step 6: Final answer
    x = 276,953.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.