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Finding the Third Proportional to 72,774 and 107,113

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Solution

The third proportional to 72,774 and 107,113 is: 157,655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,774 : 107,113 = 107,113 : x
  2. Step 2: Convert to fraction form
    72,774/107,113 = 107,113/x
  3. Step 3: Cross multiply
    72,774x = 107,113 × 107,113
  4. Step 4: Simplify right side
    72,774x = 11,473,194,769
  5. Step 5: Solve for x
    x = 11,473,194,769/72,774
  6. Step 6: Final answer
    x = 157,655.13

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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.