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Finding the Third Proportional to 52,918 and 79,370

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Solution

The third proportional to 52,918 and 79,370 is: 119,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,918 : 79,370 = 79,370 : x
  2. Step 2: Convert to fraction form
    52,918/79,370 = 79,370/x
  3. Step 3: Cross multiply
    52,918x = 79,370 × 79,370
  4. Step 4: Simplify right side
    52,918x = 6,299,596,900
  5. Step 5: Solve for x
    x = 6,299,596,900/52,918
  6. Step 6: Final answer
    x = 119,044.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.