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Finding the Third Proportional to 59,225.63 and 128,292.75

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Solution

The third proportional to 59,225.63 and 128,292.75 is: 277,903.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,225.63 : 128,292.75 = 128,292.75 : x
  2. Step 2: Convert to fraction form
    59,225.63/128,292.75 = 128,292.75/x
  3. Step 3: Cross multiply
    59,225.63x = 128,292.75 × 128,292.75
  4. Step 4: Simplify right side
    59,225.63x = 16,459,029,702.56
  5. Step 5: Solve for x
    x = 16,459,029,702.56/59,225.63
  6. Step 6: Final answer
    x = 277,903.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.