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Finding the Third Proportional to 61,630.50 and 90,252

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Solution

The third proportional to 61,630.50 and 90,252 is: 132,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,630.50 : 90,252 = 90,252 : x
  2. Step 2: Convert to fraction form
    61,630.50/90,252 = 90,252/x
  3. Step 3: Cross multiply
    61,630.50x = 90,252 × 90,252
  4. Step 4: Simplify right side
    61,630.50x = 8,145,423,504
  5. Step 5: Solve for x
    x = 8,145,423,504/61,630.50
  6. Step 6: Final answer
    x = 132,165.46

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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.