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Finding the Third Proportional to 54,473 and 77,083

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Solution

The third proportional to 54,473 and 77,083 is: 109,077.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,473 : 77,083 = 77,083 : x
  2. Step 2: Convert to fraction form
    54,473/77,083 = 77,083/x
  3. Step 3: Cross multiply
    54,473x = 77,083 × 77,083
  4. Step 4: Simplify right side
    54,473x = 5,941,788,889
  5. Step 5: Solve for x
    x = 5,941,788,889/54,473
  6. Step 6: Final answer
    x = 109,077.69

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.