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Finding the Third Proportional to 75,307 and 112,970

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Solution

The third proportional to 75,307 and 112,970 is: 169,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,307 : 112,970 = 112,970 : x
  2. Step 2: Convert to fraction form
    75,307/112,970 = 112,970/x
  3. Step 3: Cross multiply
    75,307x = 112,970 × 112,970
  4. Step 4: Simplify right side
    75,307x = 12,762,220,900
  5. Step 5: Solve for x
    x = 12,762,220,900/75,307
  6. Step 6: Final answer
    x = 169,469.25

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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.