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Finding the Third Proportional to 105,952 and 157,093

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Solution

The third proportional to 105,952 and 157,093 is: 232,918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,952 : 157,093 = 157,093 : x
  2. Step 2: Convert to fraction form
    105,952/157,093 = 157,093/x
  3. Step 3: Cross multiply
    105,952x = 157,093 × 157,093
  4. Step 4: Simplify right side
    105,952x = 24,678,210,649
  5. Step 5: Solve for x
    x = 24,678,210,649/105,952
  6. Step 6: Final answer
    x = 232,918.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.