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Finding the Third Proportional to 41,537 and 85,513

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Solution

The third proportional to 41,537 and 85,513 is: 176,047.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,537 : 85,513 = 85,513 : x
  2. Step 2: Convert to fraction form
    41,537/85,513 = 85,513/x
  3. Step 3: Cross multiply
    41,537x = 85,513 × 85,513
  4. Step 4: Simplify right side
    41,537x = 7,312,473,169
  5. Step 5: Solve for x
    x = 7,312,473,169/41,537
  6. Step 6: Final answer
    x = 176,047.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.