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Finding the Third Proportional to 57,762 and 119,398.50

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Solution

The third proportional to 57,762 and 119,398.50 is: 246,805.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,762 : 119,398.50 = 119,398.50 : x
  2. Step 2: Convert to fraction form
    57,762/119,398.50 = 119,398.50/x
  3. Step 3: Cross multiply
    57,762x = 119,398.50 × 119,398.50
  4. Step 4: Simplify right side
    57,762x = 14,256,001,802.25
  5. Step 5: Solve for x
    x = 14,256,001,802.25/57,762
  6. Step 6: Final answer
    x = 246,805.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.