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Finding the Third Proportional to 58,950 and 90,146

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Solution

The third proportional to 58,950 and 90,146 is: 137,850.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,950 : 90,146 = 90,146 : x
  2. Step 2: Convert to fraction form
    58,950/90,146 = 90,146/x
  3. Step 3: Cross multiply
    58,950x = 90,146 × 90,146
  4. Step 4: Simplify right side
    58,950x = 8,126,301,316
  5. Step 5: Solve for x
    x = 8,126,301,316/58,950
  6. Step 6: Final answer
    x = 137,850.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.