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Finding the Third Proportional to 59,121 and 131,362.50

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Solution

The third proportional to 59,121 and 131,362.50 is: 291,877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,121 : 131,362.50 = 131,362.50 : x
  2. Step 2: Convert to fraction form
    59,121/131,362.50 = 131,362.50/x
  3. Step 3: Cross multiply
    59,121x = 131,362.50 × 131,362.50
  4. Step 4: Simplify right side
    59,121x = 17,256,106,406.25
  5. Step 5: Solve for x
    x = 17,256,106,406.25/59,121
  6. Step 6: Final answer
    x = 291,877.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.