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Finding the Third Proportional to 44,715 and 92,310

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Solution

The third proportional to 44,715 and 92,310 is: 190,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,715 : 92,310 = 92,310 : x
  2. Step 2: Convert to fraction form
    44,715/92,310 = 92,310/x
  3. Step 3: Cross multiply
    44,715x = 92,310 × 92,310
  4. Step 4: Simplify right side
    44,715x = 8,521,136,100
  5. Step 5: Solve for x
    x = 8,521,136,100/44,715
  6. Step 6: Final answer
    x = 190,565.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.