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Finding the Third Proportional to 58,246 and 124,123

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Solution

The third proportional to 58,246 and 124,123 is: 264,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,246 : 124,123 = 124,123 : x
  2. Step 2: Convert to fraction form
    58,246/124,123 = 124,123/x
  3. Step 3: Cross multiply
    58,246x = 124,123 × 124,123
  4. Step 4: Simplify right side
    58,246x = 15,406,519,129
  5. Step 5: Solve for x
    x = 15,406,519,129/58,246
  6. Step 6: Final answer
    x = 264,507.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.