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Finding the Third Proportional to 76,572 and 165,444

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Solution

The third proportional to 76,572 and 165,444 is: 357,463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,572 : 165,444 = 165,444 : x
  2. Step 2: Convert to fraction form
    76,572/165,444 = 165,444/x
  3. Step 3: Cross multiply
    76,572x = 165,444 × 165,444
  4. Step 4: Simplify right side
    76,572x = 27,371,717,136
  5. Step 5: Solve for x
    x = 27,371,717,136/76,572
  6. Step 6: Final answer
    x = 357,463.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.