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Finding the Third Proportional to 130,685.63 and 192,200.63

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Solution

The third proportional to 130,685.63 and 192,200.63 is: 282,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,685.63 : 192,200.63 = 192,200.63 : x
  2. Step 2: Convert to fraction form
    130,685.63/192,200.63 = 192,200.63/x
  3. Step 3: Cross multiply
    130,685.63x = 192,200.63 × 192,200.63
  4. Step 4: Simplify right side
    130,685.63x = 36,941,080,250.39
  5. Step 5: Solve for x
    x = 36,941,080,250.39/130,685.63
  6. Step 6: Final answer
    x = 282,671.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.