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Finding the Third Proportional to 61,585 and 133,015

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Solution

The third proportional to 61,585 and 133,015 is: 287,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,585 : 133,015 = 133,015 : x
  2. Step 2: Convert to fraction form
    61,585/133,015 = 133,015/x
  3. Step 3: Cross multiply
    61,585x = 133,015 × 133,015
  4. Step 4: Simplify right side
    61,585x = 17,692,990,225
  5. Step 5: Solve for x
    x = 17,692,990,225/61,585
  6. Step 6: Final answer
    x = 287,293.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.