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Finding the Third Proportional to 59,712.75 and 90,241.13

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Solution

The third proportional to 59,712.75 and 90,241.13 is: 136,377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,712.75 : 90,241.13 = 90,241.13 : x
  2. Step 2: Convert to fraction form
    59,712.75/90,241.13 = 90,241.13/x
  3. Step 3: Cross multiply
    59,712.75x = 90,241.13 × 90,241.13
  4. Step 4: Simplify right side
    59,712.75x = 8,143,460,641.27
  5. Step 5: Solve for x
    x = 8,143,460,641.27/59,712.75
  6. Step 6: Final answer
    x = 136,377.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.