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Finding the Third Proportional to 64,650 and 94,515

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Solution

The third proportional to 64,650 and 94,515 is: 138,176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,650 : 94,515 = 94,515 : x
  2. Step 2: Convert to fraction form
    64,650/94,515 = 94,515/x
  3. Step 3: Cross multiply
    64,650x = 94,515 × 94,515
  4. Step 4: Simplify right side
    64,650x = 8,933,085,225
  5. Step 5: Solve for x
    x = 8,933,085,225/64,650
  6. Step 6: Final answer
    x = 138,176.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.