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Finding the Third Proportional to 58,311 and 90,044

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Solution

The third proportional to 58,311 and 90,044 is: 139,046.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,311 : 90,044 = 90,044 : x
  2. Step 2: Convert to fraction form
    58,311/90,044 = 90,044/x
  3. Step 3: Cross multiply
    58,311x = 90,044 × 90,044
  4. Step 4: Simplify right side
    58,311x = 8,107,921,936
  5. Step 5: Solve for x
    x = 8,107,921,936/58,311
  6. Step 6: Final answer
    x = 139,046.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.