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Finding the Third Proportional to 84,645 and 124,497

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Solution

The third proportional to 84,645 and 124,497 is: 183,111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,645 : 124,497 = 124,497 : x
  2. Step 2: Convert to fraction form
    84,645/124,497 = 124,497/x
  3. Step 3: Cross multiply
    84,645x = 124,497 × 124,497
  4. Step 4: Simplify right side
    84,645x = 15,499,503,009
  5. Step 5: Solve for x
    x = 15,499,503,009/84,645
  6. Step 6: Final answer
    x = 183,111.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.