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Finding the Third Proportional to 72,566 and 106,365

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Solution

The third proportional to 72,566 and 106,365 is: 155,906.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,566 : 106,365 = 106,365 : x
  2. Step 2: Convert to fraction form
    72,566/106,365 = 106,365/x
  3. Step 3: Cross multiply
    72,566x = 106,365 × 106,365
  4. Step 4: Simplify right side
    72,566x = 11,313,513,225
  5. Step 5: Solve for x
    x = 11,313,513,225/72,566
  6. Step 6: Final answer
    x = 155,906.53

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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.