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Finding the Third Proportional to 49,346 and 75,246

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Solution

The third proportional to 49,346 and 75,246 is: 114,740.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,346 : 75,246 = 75,246 : x
  2. Step 2: Convert to fraction form
    49,346/75,246 = 75,246/x
  3. Step 3: Cross multiply
    49,346x = 75,246 × 75,246
  4. Step 4: Simplify right side
    49,346x = 5,661,960,516
  5. Step 5: Solve for x
    x = 5,661,960,516/49,346
  6. Step 6: Final answer
    x = 114,740.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.