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Finding the Third Proportional to 97,608 and 132,585

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Solution

The third proportional to 97,608 and 132,585 is: 180,095.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,608 : 132,585 = 132,585 : x
  2. Step 2: Convert to fraction form
    97,608/132,585 = 132,585/x
  3. Step 3: Cross multiply
    97,608x = 132,585 × 132,585
  4. Step 4: Simplify right side
    97,608x = 17,578,782,225
  5. Step 5: Solve for x
    x = 17,578,782,225/97,608
  6. Step 6: Final answer
    x = 180,095.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.