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Finding the Third Proportional to 72,301 and 149,214

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Solution

The third proportional to 72,301 and 149,214 is: 307,946.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,301 : 149,214 = 149,214 : x
  2. Step 2: Convert to fraction form
    72,301/149,214 = 149,214/x
  3. Step 3: Cross multiply
    72,301x = 149,214 × 149,214
  4. Step 4: Simplify right side
    72,301x = 22,264,817,796
  5. Step 5: Solve for x
    x = 22,264,817,796/72,301
  6. Step 6: Final answer
    x = 307,946.19

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.