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Finding the Third Proportional to 61,164 and 133,548

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Solution

The third proportional to 61,164 and 133,548 is: 291,594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,164 : 133,548 = 133,548 : x
  2. Step 2: Convert to fraction form
    61,164/133,548 = 133,548/x
  3. Step 3: Cross multiply
    61,164x = 133,548 × 133,548
  4. Step 4: Simplify right side
    61,164x = 17,835,068,304
  5. Step 5: Solve for x
    x = 17,835,068,304/61,164
  6. Step 6: Final answer
    x = 291,594.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.