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Finding the Third Proportional to 73,592 and 116,580

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Solution

The third proportional to 73,592 and 116,580 is: 184,678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,592 : 116,580 = 116,580 : x
  2. Step 2: Convert to fraction form
    73,592/116,580 = 116,580/x
  3. Step 3: Cross multiply
    73,592x = 116,580 × 116,580
  4. Step 4: Simplify right side
    73,592x = 13,590,896,400
  5. Step 5: Solve for x
    x = 13,590,896,400/73,592
  6. Step 6: Final answer
    x = 184,678.99

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.