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Finding the Third Proportional to 72,922 and 156,213

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Solution

The third proportional to 72,922 and 156,213 is: 334,638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,922 : 156,213 = 156,213 : x
  2. Step 2: Convert to fraction form
    72,922/156,213 = 156,213/x
  3. Step 3: Cross multiply
    72,922x = 156,213 × 156,213
  4. Step 4: Simplify right side
    72,922x = 24,402,501,369
  5. Step 5: Solve for x
    x = 24,402,501,369/72,922
  6. Step 6: Final answer
    x = 334,638.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.