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Finding the Third Proportional to 58,083 and 85,423

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Solution

The third proportional to 58,083 and 85,423 is: 125,632.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,083 : 85,423 = 85,423 : x
  2. Step 2: Convert to fraction form
    58,083/85,423 = 85,423/x
  3. Step 3: Cross multiply
    58,083x = 85,423 × 85,423
  4. Step 4: Simplify right side
    58,083x = 7,297,088,929
  5. Step 5: Solve for x
    x = 7,297,088,929/58,083
  6. Step 6: Final answer
    x = 125,632.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.