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Finding the Third Proportional to 58,006 and 91,918

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Solution

The third proportional to 58,006 and 91,918 is: 145,655.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,006 : 91,918 = 91,918 : x
  2. Step 2: Convert to fraction form
    58,006/91,918 = 91,918/x
  3. Step 3: Cross multiply
    58,006x = 91,918 × 91,918
  4. Step 4: Simplify right side
    58,006x = 8,448,918,724
  5. Step 5: Solve for x
    x = 8,448,918,724/58,006
  6. Step 6: Final answer
    x = 145,655.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.