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Finding the Third Proportional to 59,525 and 89,895.75

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Solution

The third proportional to 59,525 and 89,895.75 is: 135,762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,525 : 89,895.75 = 89,895.75 : x
  2. Step 2: Convert to fraction form
    59,525/89,895.75 = 89,895.75/x
  3. Step 3: Cross multiply
    59,525x = 89,895.75 × 89,895.75
  4. Step 4: Simplify right side
    59,525x = 8,081,245,868.06
  5. Step 5: Solve for x
    x = 8,081,245,868.06/59,525
  6. Step 6: Final answer
    x = 135,762.22

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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.