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Finding the Third Proportional to 97,749 and 136,417

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Solution

The third proportional to 97,749 and 136,417 is: 190,381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,749 : 136,417 = 136,417 : x
  2. Step 2: Convert to fraction form
    97,749/136,417 = 136,417/x
  3. Step 3: Cross multiply
    97,749x = 136,417 × 136,417
  4. Step 4: Simplify right side
    97,749x = 18,609,597,889
  5. Step 5: Solve for x
    x = 18,609,597,889/97,749
  6. Step 6: Final answer
    x = 190,381.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.