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Finding the Third Proportional to 44,090 and 63,111

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Solution

The third proportional to 44,090 and 63,111 is: 90,337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,090 : 63,111 = 63,111 : x
  2. Step 2: Convert to fraction form
    44,090/63,111 = 63,111/x
  3. Step 3: Cross multiply
    44,090x = 63,111 × 63,111
  4. Step 4: Simplify right side
    44,090x = 3,982,998,321
  5. Step 5: Solve for x
    x = 3,982,998,321/44,090
  6. Step 6: Final answer
    x = 90,337.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.