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Finding the Third Proportional to 60,745 and 133,297

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Solution

The third proportional to 60,745 and 133,297 is: 292,502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,745 : 133,297 = 133,297 : x
  2. Step 2: Convert to fraction form
    60,745/133,297 = 133,297/x
  3. Step 3: Cross multiply
    60,745x = 133,297 × 133,297
  4. Step 4: Simplify right side
    60,745x = 17,768,090,209
  5. Step 5: Solve for x
    x = 17,768,090,209/60,745
  6. Step 6: Final answer
    x = 292,502.93

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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.