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Finding the Third Proportional to 72,511 and 160,574

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Solution

The third proportional to 72,511 and 160,574 is: 355,587.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,511 : 160,574 = 160,574 : x
  2. Step 2: Convert to fraction form
    72,511/160,574 = 160,574/x
  3. Step 3: Cross multiply
    72,511x = 160,574 × 160,574
  4. Step 4: Simplify right side
    72,511x = 25,784,009,476
  5. Step 5: Solve for x
    x = 25,784,009,476/72,511
  6. Step 6: Final answer
    x = 355,587.56

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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.