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Finding the Third Proportional to 61,451 and 134,778

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Solution

The third proportional to 61,451 and 134,778 is: 295,603.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,451 : 134,778 = 134,778 : x
  2. Step 2: Convert to fraction form
    61,451/134,778 = 134,778/x
  3. Step 3: Cross multiply
    61,451x = 134,778 × 134,778
  4. Step 4: Simplify right side
    61,451x = 18,165,109,284
  5. Step 5: Solve for x
    x = 18,165,109,284/61,451
  6. Step 6: Final answer
    x = 295,603.15

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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.