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Finding the Third Proportional to 61,323 and 82,410

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Solution

The third proportional to 61,323 and 82,410 is: 110,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,323 : 82,410 = 82,410 : x
  2. Step 2: Convert to fraction form
    61,323/82,410 = 82,410/x
  3. Step 3: Cross multiply
    61,323x = 82,410 × 82,410
  4. Step 4: Simplify right side
    61,323x = 6,791,408,100
  5. Step 5: Solve for x
    x = 6,791,408,100/61,323
  6. Step 6: Final answer
    x = 110,748.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.