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Finding the Third Proportional to 58,948 and 90,143

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Solution

The third proportional to 58,948 and 90,143 is: 137,846.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,948 : 90,143 = 90,143 : x
  2. Step 2: Convert to fraction form
    58,948/90,143 = 90,143/x
  3. Step 3: Cross multiply
    58,948x = 90,143 × 90,143
  4. Step 4: Simplify right side
    58,948x = 8,125,760,449
  5. Step 5: Solve for x
    x = 8,125,760,449/58,948
  6. Step 6: Final answer
    x = 137,846.24

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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.