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Finding the Third Proportional to 52,358 and 107,488

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Solution

The third proportional to 52,358 and 107,488 is: 220,666.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,358 : 107,488 = 107,488 : x
  2. Step 2: Convert to fraction form
    52,358/107,488 = 107,488/x
  3. Step 3: Cross multiply
    52,358x = 107,488 × 107,488
  4. Step 4: Simplify right side
    52,358x = 11,553,670,144
  5. Step 5: Solve for x
    x = 11,553,670,144/52,358
  6. Step 6: Final answer
    x = 220,666.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.