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Finding the Third Proportional to 75,602 and 176,585

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Solution

The third proportional to 75,602 and 176,585 is: 412,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,602 : 176,585 = 176,585 : x
  2. Step 2: Convert to fraction form
    75,602/176,585 = 176,585/x
  3. Step 3: Cross multiply
    75,602x = 176,585 × 176,585
  4. Step 4: Simplify right side
    75,602x = 31,182,262,225
  5. Step 5: Solve for x
    x = 31,182,262,225/75,602
  6. Step 6: Final answer
    x = 412,452.87

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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.