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Finding the Third Proportional to 44,761 and 97,507

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Solution

The third proportional to 44,761 and 97,507 is: 212,408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,761 : 97,507 = 97,507 : x
  2. Step 2: Convert to fraction form
    44,761/97,507 = 97,507/x
  3. Step 3: Cross multiply
    44,761x = 97,507 × 97,507
  4. Step 4: Simplify right side
    44,761x = 9,507,615,049
  5. Step 5: Solve for x
    x = 9,507,615,049/44,761
  6. Step 6: Final answer
    x = 212,408.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.