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Finding the Third Proportional to 77,062 and 112,927

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Solution

The third proportional to 77,062 and 112,927 is: 165,483.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,062 : 112,927 = 112,927 : x
  2. Step 2: Convert to fraction form
    77,062/112,927 = 112,927/x
  3. Step 3: Cross multiply
    77,062x = 112,927 × 112,927
  4. Step 4: Simplify right side
    77,062x = 12,752,507,329
  5. Step 5: Solve for x
    x = 12,752,507,329/77,062
  6. Step 6: Final answer
    x = 165,483.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.