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Finding the Third Proportional to 72,628 and 157,321

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Solution

The third proportional to 72,628 and 157,321 is: 340,776.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,628 : 157,321 = 157,321 : x
  2. Step 2: Convert to fraction form
    72,628/157,321 = 157,321/x
  3. Step 3: Cross multiply
    72,628x = 157,321 × 157,321
  4. Step 4: Simplify right side
    72,628x = 24,749,897,041
  5. Step 5: Solve for x
    x = 24,749,897,041/72,628
  6. Step 6: Final answer
    x = 340,776.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.