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Finding the Third Proportional to 77,103 and 112,372

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Solution

The third proportional to 77,103 and 112,372 is: 163,774.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,103 : 112,372 = 112,372 : x
  2. Step 2: Convert to fraction form
    77,103/112,372 = 112,372/x
  3. Step 3: Cross multiply
    77,103x = 112,372 × 112,372
  4. Step 4: Simplify right side
    77,103x = 12,627,466,384
  5. Step 5: Solve for x
    x = 12,627,466,384/77,103
  6. Step 6: Final answer
    x = 163,774.00

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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.