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Finding the Third Proportional to 61,576 and 99,164

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Solution

The third proportional to 61,576 and 99,164 is: 159,696.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,576 : 99,164 = 99,164 : x
  2. Step 2: Convert to fraction form
    61,576/99,164 = 99,164/x
  3. Step 3: Cross multiply
    61,576x = 99,164 × 99,164
  4. Step 4: Simplify right side
    61,576x = 9,833,498,896
  5. Step 5: Solve for x
    x = 9,833,498,896/61,576
  6. Step 6: Final answer
    x = 159,696.94

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.