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Finding the Third Proportional to 72,460.13 and 109,237.13

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Solution

The third proportional to 72,460.13 and 109,237.13 is: 164,680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,460.13 : 109,237.13 = 109,237.13 : x
  2. Step 2: Convert to fraction form
    72,460.13/109,237.13 = 109,237.13/x
  3. Step 3: Cross multiply
    72,460.13x = 109,237.13 × 109,237.13
  4. Step 4: Simplify right side
    72,460.13x = 11,932,749,478.27
  5. Step 5: Solve for x
    x = 11,932,749,478.27/72,460.13
  6. Step 6: Final answer
    x = 164,680.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.