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Finding the Third Proportional to 59,809.50 and 128,835

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Solution

The third proportional to 59,809.50 and 128,835 is: 277,522.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,809.50 : 128,835 = 128,835 : x
  2. Step 2: Convert to fraction form
    59,809.50/128,835 = 128,835/x
  3. Step 3: Cross multiply
    59,809.50x = 128,835 × 128,835
  4. Step 4: Simplify right side
    59,809.50x = 16,598,457,225
  5. Step 5: Solve for x
    x = 16,598,457,225/59,809.50
  6. Step 6: Final answer
    x = 277,522.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.