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Finding the Third Proportional to 76,527 and 165,351

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Solution

The third proportional to 76,527 and 165,351 is: 357,271.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,527 : 165,351 = 165,351 : x
  2. Step 2: Convert to fraction form
    76,527/165,351 = 165,351/x
  3. Step 3: Cross multiply
    76,527x = 165,351 × 165,351
  4. Step 4: Simplify right side
    76,527x = 27,340,953,201
  5. Step 5: Solve for x
    x = 27,340,953,201/76,527
  6. Step 6: Final answer
    x = 357,271.99

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