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Finding the Third Proportional to 59,223.66 and 130,903.59

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Solution

The third proportional to 59,223.66 and 130,903.59 is: 289,339.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,223.66 : 130,903.59 = 130,903.59 : x
  2. Step 2: Convert to fraction form
    59,223.66/130,903.59 = 130,903.59/x
  3. Step 3: Cross multiply
    59,223.66x = 130,903.59 × 130,903.59
  4. Step 4: Simplify right side
    59,223.66x = 17,135,750,856.67
  5. Step 5: Solve for x
    x = 17,135,750,856.67/59,223.66
  6. Step 6: Final answer
    x = 289,339.63

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.