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Finding the Third Proportional to 61,580.25 and 134,834.63

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Solution

The third proportional to 61,580.25 and 134,834.63 is: 295,230.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,580.25 : 134,834.63 = 134,834.63 : x
  2. Step 2: Convert to fraction form
    61,580.25/134,834.63 = 134,834.63/x
  3. Step 3: Cross multiply
    61,580.25x = 134,834.63 × 134,834.63
  4. Step 4: Simplify right side
    61,580.25x = 18,180,376,098.89
  5. Step 5: Solve for x
    x = 18,180,376,098.89/61,580.25
  6. Step 6: Final answer
    x = 295,230.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.