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Finding the Third Proportional to 120,564 and 176,508

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Solution

The third proportional to 120,564 and 176,508 is: 258,411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,564 : 176,508 = 176,508 : x
  2. Step 2: Convert to fraction form
    120,564/176,508 = 176,508/x
  3. Step 3: Cross multiply
    120,564x = 176,508 × 176,508
  4. Step 4: Simplify right side
    120,564x = 31,155,074,064
  5. Step 5: Solve for x
    x = 31,155,074,064/120,564
  6. Step 6: Final answer
    x = 258,411.09

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.