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Finding the Third Proportional to 130,008 and 194,161.50

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Solution

The third proportional to 130,008 and 194,161.50 is: 289,972.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,008 : 194,161.50 = 194,161.50 : x
  2. Step 2: Convert to fraction form
    130,008/194,161.50 = 194,161.50/x
  3. Step 3: Cross multiply
    130,008x = 194,161.50 × 194,161.50
  4. Step 4: Simplify right side
    130,008x = 37,698,688,082.25
  5. Step 5: Solve for x
    x = 37,698,688,082.25/130,008
  6. Step 6: Final answer
    x = 289,972.06

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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.