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Finding the Third Proportional to 132,030 and 183,357

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Solution

The third proportional to 132,030 and 183,357 is: 254,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,030 : 183,357 = 183,357 : x
  2. Step 2: Convert to fraction form
    132,030/183,357 = 183,357/x
  3. Step 3: Cross multiply
    132,030x = 183,357 × 183,357
  4. Step 4: Simplify right side
    132,030x = 33,619,789,449
  5. Step 5: Solve for x
    x = 33,619,789,449/132,030
  6. Step 6: Final answer
    x = 254,637.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.