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Finding the Third Proportional to 61,297 and 134,078

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Solution

The third proportional to 61,297 and 134,078 is: 293,275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,297 : 134,078 = 134,078 : x
  2. Step 2: Convert to fraction form
    61,297/134,078 = 134,078/x
  3. Step 3: Cross multiply
    61,297x = 134,078 × 134,078
  4. Step 4: Simplify right side
    61,297x = 17,976,910,084
  5. Step 5: Solve for x
    x = 17,976,910,084/61,297
  6. Step 6: Final answer
    x = 293,275.53

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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.