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Finding the Third Proportional to 75,516 and 176,370

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Solution

The third proportional to 75,516 and 176,370 is: 411,917.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,516 : 176,370 = 176,370 : x
  2. Step 2: Convert to fraction form
    75,516/176,370 = 176,370/x
  3. Step 3: Cross multiply
    75,516x = 176,370 × 176,370
  4. Step 4: Simplify right side
    75,516x = 31,106,376,900
  5. Step 5: Solve for x
    x = 31,106,376,900/75,516
  6. Step 6: Final answer
    x = 411,917.70

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.