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Finding the Third Proportional to 76,488 and 116,352

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Solution

The third proportional to 76,488 and 116,352 is: 176,992.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,488 : 116,352 = 116,352 : x
  2. Step 2: Convert to fraction form
    76,488/116,352 = 116,352/x
  3. Step 3: Cross multiply
    76,488x = 116,352 × 116,352
  4. Step 4: Simplify right side
    76,488x = 13,537,787,904
  5. Step 5: Solve for x
    x = 13,537,787,904/76,488
  6. Step 6: Final answer
    x = 176,992.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.