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Finding the Third Proportional to 72,507 and 160,566

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Solution

The third proportional to 72,507 and 160,566 is: 355,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,507 : 160,566 = 160,566 : x
  2. Step 2: Convert to fraction form
    72,507/160,566 = 160,566/x
  3. Step 3: Cross multiply
    72,507x = 160,566 × 160,566
  4. Step 4: Simplify right side
    72,507x = 25,781,440,356
  5. Step 5: Solve for x
    x = 25,781,440,356/72,507
  6. Step 6: Final answer
    x = 355,571.74

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.