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Finding the Third Proportional to 130,024 and 194,178

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Solution

The third proportional to 130,024 and 194,178 is: 289,985.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,024 : 194,178 = 194,178 : x
  2. Step 2: Convert to fraction form
    130,024/194,178 = 194,178/x
  3. Step 3: Cross multiply
    130,024x = 194,178 × 194,178
  4. Step 4: Simplify right side
    130,024x = 37,705,095,684
  5. Step 5: Solve for x
    x = 37,705,095,684/130,024
  6. Step 6: Final answer
    x = 289,985.66

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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.