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Finding the Third Proportional to 161,913 and 245,124

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Solution

The third proportional to 161,913 and 245,124 is: 371,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,913 : 245,124 = 245,124 : x
  2. Step 2: Convert to fraction form
    161,913/245,124 = 245,124/x
  3. Step 3: Cross multiply
    161,913x = 245,124 × 245,124
  4. Step 4: Simplify right side
    161,913x = 60,085,775,376
  5. Step 5: Solve for x
    x = 60,085,775,376/161,913
  6. Step 6: Final answer
    x = 371,099.14

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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.