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Finding the Third Proportional to 61,414 and 94,835

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Solution

The third proportional to 61,414 and 94,835 is: 146,443.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,414 : 94,835 = 94,835 : x
  2. Step 2: Convert to fraction form
    61,414/94,835 = 94,835/x
  3. Step 3: Cross multiply
    61,414x = 94,835 × 94,835
  4. Step 4: Simplify right side
    61,414x = 8,993,677,225
  5. Step 5: Solve for x
    x = 8,993,677,225/61,414
  6. Step 6: Final answer
    x = 146,443.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.