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Finding the Third Proportional to 133,088 and 182,352

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Solution

The third proportional to 133,088 and 182,352 is: 249,851.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,088 : 182,352 = 182,352 : x
  2. Step 2: Convert to fraction form
    133,088/182,352 = 182,352/x
  3. Step 3: Cross multiply
    133,088x = 182,352 × 182,352
  4. Step 4: Simplify right side
    133,088x = 33,252,251,904
  5. Step 5: Solve for x
    x = 33,252,251,904/133,088
  6. Step 6: Final answer
    x = 249,851.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.