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Finding the Third Proportional to 56,498 and 122,708

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Solution

The third proportional to 56,498 and 122,708 is: 266,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,498 : 122,708 = 122,708 : x
  2. Step 2: Convert to fraction form
    56,498/122,708 = 122,708/x
  3. Step 3: Cross multiply
    56,498x = 122,708 × 122,708
  4. Step 4: Simplify right side
    56,498x = 15,057,253,264
  5. Step 5: Solve for x
    x = 15,057,253,264/56,498
  6. Step 6: Final answer
    x = 266,509.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.