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Finding the Third Proportional to 102,537 and 215,442

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Solution

The third proportional to 102,537 and 215,442 is: 452,668.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,537 : 215,442 = 215,442 : x
  2. Step 2: Convert to fraction form
    102,537/215,442 = 215,442/x
  3. Step 3: Cross multiply
    102,537x = 215,442 × 215,442
  4. Step 4: Simplify right side
    102,537x = 46,415,255,364
  5. Step 5: Solve for x
    x = 46,415,255,364/102,537
  6. Step 6: Final answer
    x = 452,668.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.