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Finding the Third Proportional to 42,722 and 93,762

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Solution

The third proportional to 42,722 and 93,762 is: 205,779.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,722 : 93,762 = 93,762 : x
  2. Step 2: Convert to fraction form
    42,722/93,762 = 93,762/x
  3. Step 3: Cross multiply
    42,722x = 93,762 × 93,762
  4. Step 4: Simplify right side
    42,722x = 8,791,312,644
  5. Step 5: Solve for x
    x = 8,791,312,644/42,722
  6. Step 6: Final answer
    x = 205,779.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.