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Finding the Third Proportional to 61,778 and 135,585

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Solution

The third proportional to 61,778 and 135,585 is: 297,570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,778 : 135,585 = 135,585 : x
  2. Step 2: Convert to fraction form
    61,778/135,585 = 135,585/x
  3. Step 3: Cross multiply
    61,778x = 135,585 × 135,585
  4. Step 4: Simplify right side
    61,778x = 18,383,292,225
  5. Step 5: Solve for x
    x = 18,383,292,225/61,778
  6. Step 6: Final answer
    x = 297,570.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.