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Finding the Third Proportional to 97,569 and 147,122

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Solution

The third proportional to 97,569 and 147,122 is: 221,841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,569 : 147,122 = 147,122 : x
  2. Step 2: Convert to fraction form
    97,569/147,122 = 147,122/x
  3. Step 3: Cross multiply
    97,569x = 147,122 × 147,122
  4. Step 4: Simplify right side
    97,569x = 21,644,882,884
  5. Step 5: Solve for x
    x = 21,644,882,884/97,569
  6. Step 6: Final answer
    x = 221,841.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.