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Finding the Third Proportional to 52,103 and 112,306

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Solution

The third proportional to 52,103 and 112,306 is: 242,071.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,103 : 112,306 = 112,306 : x
  2. Step 2: Convert to fraction form
    52,103/112,306 = 112,306/x
  3. Step 3: Cross multiply
    52,103x = 112,306 × 112,306
  4. Step 4: Simplify right side
    52,103x = 12,612,637,636
  5. Step 5: Solve for x
    x = 12,612,637,636/52,103
  6. Step 6: Final answer
    x = 242,071.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.