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Finding the Third Proportional to 61,293 and 94,671

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Solution

The third proportional to 61,293 and 94,671 is: 146,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,293 : 94,671 = 94,671 : x
  2. Step 2: Convert to fraction form
    61,293/94,671 = 94,671/x
  3. Step 3: Cross multiply
    61,293x = 94,671 × 94,671
  4. Step 4: Simplify right side
    61,293x = 8,962,598,241
  5. Step 5: Solve for x
    x = 8,962,598,241/61,293
  6. Step 6: Final answer
    x = 146,225.48

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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.