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Finding the Third Proportional to 97,362 and 142,212

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Solution

The third proportional to 97,362 and 142,212 is: 207,722.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,362 : 142,212 = 142,212 : x
  2. Step 2: Convert to fraction form
    97,362/142,212 = 142,212/x
  3. Step 3: Cross multiply
    97,362x = 142,212 × 142,212
  4. Step 4: Simplify right side
    97,362x = 20,224,252,944
  5. Step 5: Solve for x
    x = 20,224,252,944/97,362
  6. Step 6: Final answer
    x = 207,722.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.