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Finding the Third Proportional to 53,180 and 77,862

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Solution

The third proportional to 53,180 and 77,862 is: 113,999.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,180 : 77,862 = 77,862 : x
  2. Step 2: Convert to fraction form
    53,180/77,862 = 77,862/x
  3. Step 3: Cross multiply
    53,180x = 77,862 × 77,862
  4. Step 4: Simplify right side
    53,180x = 6,062,491,044
  5. Step 5: Solve for x
    x = 6,062,491,044/53,180
  6. Step 6: Final answer
    x = 113,999.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.