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Finding the Third Proportional to 77,583 and 160,020

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Solution

The third proportional to 77,583 and 160,020 is: 330,051.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,583 : 160,020 = 160,020 : x
  2. Step 2: Convert to fraction form
    77,583/160,020 = 160,020/x
  3. Step 3: Cross multiply
    77,583x = 160,020 × 160,020
  4. Step 4: Simplify right side
    77,583x = 25,606,400,400
  5. Step 5: Solve for x
    x = 25,606,400,400/77,583
  6. Step 6: Final answer
    x = 330,051.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.