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Finding the Third Proportional to 105,056 and 157,214

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Solution

The third proportional to 105,056 and 157,214 is: 235,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,056 : 157,214 = 157,214 : x
  2. Step 2: Convert to fraction form
    105,056/157,214 = 157,214/x
  3. Step 3: Cross multiply
    105,056x = 157,214 × 157,214
  4. Step 4: Simplify right side
    105,056x = 24,716,241,796
  5. Step 5: Solve for x
    x = 24,716,241,796/105,056
  6. Step 6: Final answer
    x = 235,267.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.