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Finding the Third Proportional to 77,506 and 165,586

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Solution

The third proportional to 77,506 and 165,586 is: 353,762.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,506 : 165,586 = 165,586 : x
  2. Step 2: Convert to fraction form
    77,506/165,586 = 165,586/x
  3. Step 3: Cross multiply
    77,506x = 165,586 × 165,586
  4. Step 4: Simplify right side
    77,506x = 27,418,723,396
  5. Step 5: Solve for x
    x = 27,418,723,396/77,506
  6. Step 6: Final answer
    x = 353,762.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.