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Finding the Third Proportional to 42,628 and 88,729

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Solution

The third proportional to 42,628 and 88,729 is: 184,686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,628 : 88,729 = 88,729 : x
  2. Step 2: Convert to fraction form
    42,628/88,729 = 88,729/x
  3. Step 3: Cross multiply
    42,628x = 88,729 × 88,729
  4. Step 4: Simplify right side
    42,628x = 7,872,835,441
  5. Step 5: Solve for x
    x = 7,872,835,441/42,628
  6. Step 6: Final answer
    x = 184,686.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.