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Finding the Third Proportional to 61,508 and 94,030

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Solution

The third proportional to 61,508 and 94,030 is: 143,747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,508 : 94,030 = 94,030 : x
  2. Step 2: Convert to fraction form
    61,508/94,030 = 94,030/x
  3. Step 3: Cross multiply
    61,508x = 94,030 × 94,030
  4. Step 4: Simplify right side
    61,508x = 8,841,640,900
  5. Step 5: Solve for x
    x = 8,841,640,900/61,508
  6. Step 6: Final answer
    x = 143,747.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.