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Finding the Third Proportional to 102,848 and 155,369

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Solution

The third proportional to 102,848 and 155,369 is: 234,710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,848 : 155,369 = 155,369 : x
  2. Step 2: Convert to fraction form
    102,848/155,369 = 155,369/x
  3. Step 3: Cross multiply
    102,848x = 155,369 × 155,369
  4. Step 4: Simplify right side
    102,848x = 24,139,526,161
  5. Step 5: Solve for x
    x = 24,139,526,161/102,848
  6. Step 6: Final answer
    x = 234,710.70

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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.