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Finding the Third Proportional to 132,030 and 175,077

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Solution

The third proportional to 132,030 and 175,077 is: 232,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,030 : 175,077 = 175,077 : x
  2. Step 2: Convert to fraction form
    132,030/175,077 = 175,077/x
  3. Step 3: Cross multiply
    132,030x = 175,077 × 175,077
  4. Step 4: Simplify right side
    132,030x = 30,651,955,929
  5. Step 5: Solve for x
    x = 30,651,955,929/132,030
  6. Step 6: Final answer
    x = 232,159.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.