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Finding the Third Proportional to 66,685 and 97,392

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Solution

The third proportional to 66,685 and 97,392 is: 142,238.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,685 : 97,392 = 97,392 : x
  2. Step 2: Convert to fraction form
    66,685/97,392 = 97,392/x
  3. Step 3: Cross multiply
    66,685x = 97,392 × 97,392
  4. Step 4: Simplify right side
    66,685x = 9,485,201,664
  5. Step 5: Solve for x
    x = 9,485,201,664/66,685
  6. Step 6: Final answer
    x = 142,238.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.