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Finding the Third Proportional to 58,412.25 and 90,204.75

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Solution

The third proportional to 58,412.25 and 90,204.75 is: 139,301.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,412.25 : 90,204.75 = 90,204.75 : x
  2. Step 2: Convert to fraction form
    58,412.25/90,204.75 = 90,204.75/x
  3. Step 3: Cross multiply
    58,412.25x = 90,204.75 × 90,204.75
  4. Step 4: Simplify right side
    58,412.25x = 8,136,896,922.56
  5. Step 5: Solve for x
    x = 8,136,896,922.56/58,412.25
  6. Step 6: Final answer
    x = 139,301.21

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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.