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Finding the Third Proportional to 77,301 and 112,671

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Solution

The third proportional to 77,301 and 112,671 is: 164,224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,301 : 112,671 = 112,671 : x
  2. Step 2: Convert to fraction form
    77,301/112,671 = 112,671/x
  3. Step 3: Cross multiply
    77,301x = 112,671 × 112,671
  4. Step 4: Simplify right side
    77,301x = 12,694,754,241
  5. Step 5: Solve for x
    x = 12,694,754,241/77,301
  6. Step 6: Final answer
    x = 164,224.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.