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Finding the Third Proportional to 76,707 and 165,888

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Solution

The third proportional to 76,707 and 165,888 is: 358,752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,707 : 165,888 = 165,888 : x
  2. Step 2: Convert to fraction form
    76,707/165,888 = 165,888/x
  3. Step 3: Cross multiply
    76,707x = 165,888 × 165,888
  4. Step 4: Simplify right side
    76,707x = 27,518,828,544
  5. Step 5: Solve for x
    x = 27,518,828,544/76,707
  6. Step 6: Final answer
    x = 358,752.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.