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Finding the Third Proportional to 103,302 and 157,014

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Solution

The third proportional to 103,302 and 157,014 is: 238,653.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,302 : 157,014 = 157,014 : x
  2. Step 2: Convert to fraction form
    103,302/157,014 = 157,014/x
  3. Step 3: Cross multiply
    103,302x = 157,014 × 157,014
  4. Step 4: Simplify right side
    103,302x = 24,653,396,196
  5. Step 5: Solve for x
    x = 24,653,396,196/103,302
  6. Step 6: Final answer
    x = 238,653.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.