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Finding the Third Proportional to 66,525 and 97,195.50

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Solution

The third proportional to 66,525 and 97,195.50 is: 142,006.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,525 : 97,195.50 = 97,195.50 : x
  2. Step 2: Convert to fraction form
    66,525/97,195.50 = 97,195.50/x
  3. Step 3: Cross multiply
    66,525x = 97,195.50 × 97,195.50
  4. Step 4: Simplify right side
    66,525x = 9,446,965,220.25
  5. Step 5: Solve for x
    x = 9,446,965,220.25/66,525
  6. Step 6: Final answer
    x = 142,006.24

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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.