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Finding the Third Proportional to 130,118.63 and 194,097.94

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Solution

The third proportional to 130,118.63 and 194,097.94 is: 289,535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,118.63 : 194,097.94 = 194,097.94 : x
  2. Step 2: Convert to fraction form
    130,118.63/194,097.94 = 194,097.94/x
  3. Step 3: Cross multiply
    130,118.63x = 194,097.94 × 194,097.94
  4. Step 4: Simplify right side
    130,118.63x = 37,674,009,341.75
  5. Step 5: Solve for x
    x = 37,674,009,341.75/130,118.63
  6. Step 6: Final answer
    x = 289,535.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.