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Finding the Third Proportional to 63,294 and 134,768

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Solution

The third proportional to 63,294 and 134,768 is: 286,953.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,294 : 134,768 = 134,768 : x
  2. Step 2: Convert to fraction form
    63,294/134,768 = 134,768/x
  3. Step 3: Cross multiply
    63,294x = 134,768 × 134,768
  4. Step 4: Simplify right side
    63,294x = 18,162,413,824
  5. Step 5: Solve for x
    x = 18,162,413,824/63,294
  6. Step 6: Final answer
    x = 286,953.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.