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Finding the Third Proportional to 49,358 and 76,436

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Solution

The third proportional to 49,358 and 76,436 is: 118,369.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,358 : 76,436 = 76,436 : x
  2. Step 2: Convert to fraction form
    49,358/76,436 = 76,436/x
  3. Step 3: Cross multiply
    49,358x = 76,436 × 76,436
  4. Step 4: Simplify right side
    49,358x = 5,842,462,096
  5. Step 5: Solve for x
    x = 5,842,462,096/49,358
  6. Step 6: Final answer
    x = 118,369.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.