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Finding the Third Proportional to 97,686 and 152,361

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Solution

The third proportional to 97,686 and 152,361 is: 237,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,686 : 152,361 = 152,361 : x
  2. Step 2: Convert to fraction form
    97,686/152,361 = 152,361/x
  3. Step 3: Cross multiply
    97,686x = 152,361 × 152,361
  4. Step 4: Simplify right side
    97,686x = 23,213,874,321
  5. Step 5: Solve for x
    x = 23,213,874,321/97,686
  6. Step 6: Final answer
    x = 237,637.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.