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Finding the Third Proportional to 76,428 and 165,654

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Solution

The third proportional to 76,428 and 165,654 is: 359,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,428 : 165,654 = 165,654 : x
  2. Step 2: Convert to fraction form
    76,428/165,654 = 165,654/x
  3. Step 3: Cross multiply
    76,428x = 165,654 × 165,654
  4. Step 4: Simplify right side
    76,428x = 27,441,247,716
  5. Step 5: Solve for x
    x = 27,441,247,716/76,428
  6. Step 6: Final answer
    x = 359,047.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.