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Finding the Third Proportional to 76,526 and 162,315

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Solution

The third proportional to 76,526 and 162,315 is: 344,277.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,526 : 162,315 = 162,315 : x
  2. Step 2: Convert to fraction form
    76,526/162,315 = 162,315/x
  3. Step 3: Cross multiply
    76,526x = 162,315 × 162,315
  4. Step 4: Simplify right side
    76,526x = 26,346,159,225
  5. Step 5: Solve for x
    x = 26,346,159,225/76,526
  6. Step 6: Final answer
    x = 344,277.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.