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Finding the Third Proportional to 65,392 and 97,600

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Solution

The third proportional to 65,392 and 97,600 is: 145,671.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,392 : 97,600 = 97,600 : x
  2. Step 2: Convert to fraction form
    65,392/97,600 = 97,600/x
  3. Step 3: Cross multiply
    65,392x = 97,600 × 97,600
  4. Step 4: Simplify right side
    65,392x = 9,525,760,000
  5. Step 5: Solve for x
    x = 9,525,760,000/65,392
  6. Step 6: Final answer
    x = 145,671.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.