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Finding the Third Proportional to 130,036 and 174,318

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Solution

The third proportional to 130,036 and 174,318 is: 233,679.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,036 : 174,318 = 174,318 : x
  2. Step 2: Convert to fraction form
    130,036/174,318 = 174,318/x
  3. Step 3: Cross multiply
    130,036x = 174,318 × 174,318
  4. Step 4: Simplify right side
    130,036x = 30,386,765,124
  5. Step 5: Solve for x
    x = 30,386,765,124/130,036
  6. Step 6: Final answer
    x = 233,679.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.