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Finding the Third Proportional to 101,234 and 157,156

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Solution

The third proportional to 101,234 and 157,156 is: 243,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,234 : 157,156 = 157,156 : x
  2. Step 2: Convert to fraction form
    101,234/157,156 = 157,156/x
  3. Step 3: Cross multiply
    101,234x = 157,156 × 157,156
  4. Step 4: Simplify right side
    101,234x = 24,698,008,336
  5. Step 5: Solve for x
    x = 24,698,008,336/101,234
  6. Step 6: Final answer
    x = 243,969.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.