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Finding the Third Proportional to 58,579 and 124,123

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Solution

The third proportional to 58,579 and 124,123 is: 263,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,579 : 124,123 = 124,123 : x
  2. Step 2: Convert to fraction form
    58,579/124,123 = 124,123/x
  3. Step 3: Cross multiply
    58,579x = 124,123 × 124,123
  4. Step 4: Simplify right side
    58,579x = 15,406,519,129
  5. Step 5: Solve for x
    x = 15,406,519,129/58,579
  6. Step 6: Final answer
    x = 263,004.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.