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Finding the Third Proportional to 74,752 and 124,581

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Solution

The third proportional to 74,752 and 124,581 is: 207,625.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,752 : 124,581 = 124,581 : x
  2. Step 2: Convert to fraction form
    74,752/124,581 = 124,581/x
  3. Step 3: Cross multiply
    74,752x = 124,581 × 124,581
  4. Step 4: Simplify right side
    74,752x = 15,520,425,561
  5. Step 5: Solve for x
    x = 15,520,425,561/74,752
  6. Step 6: Final answer
    x = 207,625.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.