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Finding the Third Proportional to 61,414 and 93,896

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Solution

The third proportional to 61,414 and 93,896 is: 143,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,414 : 93,896 = 93,896 : x
  2. Step 2: Convert to fraction form
    61,414/93,896 = 93,896/x
  3. Step 3: Cross multiply
    61,414x = 93,896 × 93,896
  4. Step 4: Simplify right side
    61,414x = 8,816,458,816
  5. Step 5: Solve for x
    x = 8,816,458,816/61,414
  6. Step 6: Final answer
    x = 143,557.80

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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.