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Finding the Third Proportional to 112,082 and 173,537

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Solution

The third proportional to 112,082 and 173,537 is: 268,688.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,082 : 173,537 = 173,537 : x
  2. Step 2: Convert to fraction form
    112,082/173,537 = 173,537/x
  3. Step 3: Cross multiply
    112,082x = 173,537 × 173,537
  4. Step 4: Simplify right side
    112,082x = 30,115,090,369
  5. Step 5: Solve for x
    x = 30,115,090,369/112,082
  6. Step 6: Final answer
    x = 268,688.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.