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Finding the Third Proportional to 66,585 and 100,590

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Solution

The third proportional to 66,585 and 100,590 is: 151,961.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,585 : 100,590 = 100,590 : x
  2. Step 2: Convert to fraction form
    66,585/100,590 = 100,590/x
  3. Step 3: Cross multiply
    66,585x = 100,590 × 100,590
  4. Step 4: Simplify right side
    66,585x = 10,118,348,100
  5. Step 5: Solve for x
    x = 10,118,348,100/66,585
  6. Step 6: Final answer
    x = 151,961.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.