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Finding the Third Proportional to 42,521 and 92,813

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Solution

The third proportional to 42,521 and 92,813 is: 202,588.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,521 : 92,813 = 92,813 : x
  2. Step 2: Convert to fraction form
    42,521/92,813 = 92,813/x
  3. Step 3: Cross multiply
    42,521x = 92,813 × 92,813
  4. Step 4: Simplify right side
    42,521x = 8,614,252,969
  5. Step 5: Solve for x
    x = 8,614,252,969/42,521
  6. Step 6: Final answer
    x = 202,588.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.