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Finding the Third Proportional to 73,128 and 116,298

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Solution

The third proportional to 73,128 and 116,298 is: 184,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,128 : 116,298 = 116,298 : x
  2. Step 2: Convert to fraction form
    73,128/116,298 = 116,298/x
  3. Step 3: Cross multiply
    73,128x = 116,298 × 116,298
  4. Step 4: Simplify right side
    73,128x = 13,525,224,804
  5. Step 5: Solve for x
    x = 13,525,224,804/73,128
  6. Step 6: Final answer
    x = 184,952.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.