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Finding the Third Proportional to 58,055 and 118,569

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Solution

The third proportional to 58,055 and 118,569 is: 242,160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,055 : 118,569 = 118,569 : x
  2. Step 2: Convert to fraction form
    58,055/118,569 = 118,569/x
  3. Step 3: Cross multiply
    58,055x = 118,569 × 118,569
  4. Step 4: Simplify right side
    58,055x = 14,058,607,761
  5. Step 5: Solve for x
    x = 14,058,607,761/58,055
  6. Step 6: Final answer
    x = 242,160.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.