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Finding the Third Proportional to 77,582 and 160,017

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Solution

The third proportional to 77,582 and 160,017 is: 330,043.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,582 : 160,017 = 160,017 : x
  2. Step 2: Convert to fraction form
    77,582/160,017 = 160,017/x
  3. Step 3: Cross multiply
    77,582x = 160,017 × 160,017
  4. Step 4: Simplify right side
    77,582x = 25,605,440,289
  5. Step 5: Solve for x
    x = 25,605,440,289/77,582
  6. Step 6: Final answer
    x = 330,043.57

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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.