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Finding the Third Proportional to 61,104 and 89,466

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Solution

The third proportional to 61,104 and 89,466 is: 130,992.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,104 : 89,466 = 89,466 : x
  2. Step 2: Convert to fraction form
    61,104/89,466 = 89,466/x
  3. Step 3: Cross multiply
    61,104x = 89,466 × 89,466
  4. Step 4: Simplify right side
    61,104x = 8,004,165,156
  5. Step 5: Solve for x
    x = 8,004,165,156/61,104
  6. Step 6: Final answer
    x = 130,992.49

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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.