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Finding the Third Proportional to 72,066 and 105,321

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Solution

The third proportional to 72,066 and 105,321 is: 153,921.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,066 : 105,321 = 105,321 : x
  2. Step 2: Convert to fraction form
    72,066/105,321 = 105,321/x
  3. Step 3: Cross multiply
    72,066x = 105,321 × 105,321
  4. Step 4: Simplify right side
    72,066x = 11,092,513,041
  5. Step 5: Solve for x
    x = 11,092,513,041/72,066
  6. Step 6: Final answer
    x = 153,921.59

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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.