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Finding the Third Proportional to 130,364 and 194,968

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Solution

The third proportional to 130,364 and 194,968 is: 291,587.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,364 : 194,968 = 194,968 : x
  2. Step 2: Convert to fraction form
    130,364/194,968 = 194,968/x
  3. Step 3: Cross multiply
    130,364x = 194,968 × 194,968
  4. Step 4: Simplify right side
    130,364x = 38,012,521,024
  5. Step 5: Solve for x
    x = 38,012,521,024/130,364
  6. Step 6: Final answer
    x = 291,587.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.