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Finding the Third Proportional to 61,072 and 133,952

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Solution

The third proportional to 61,072 and 133,952 is: 293,803.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,072 : 133,952 = 133,952 : x
  2. Step 2: Convert to fraction form
    61,072/133,952 = 133,952/x
  3. Step 3: Cross multiply
    61,072x = 133,952 × 133,952
  4. Step 4: Simplify right side
    61,072x = 17,943,138,304
  5. Step 5: Solve for x
    x = 17,943,138,304/61,072
  6. Step 6: Final answer
    x = 293,803.02

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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.