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Finding the Third Proportional to 72,301.50 and 115,623

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Solution

The third proportional to 72,301.50 and 115,623 is: 184,901.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,301.50 : 115,623 = 115,623 : x
  2. Step 2: Convert to fraction form
    72,301.50/115,623 = 115,623/x
  3. Step 3: Cross multiply
    72,301.50x = 115,623 × 115,623
  4. Step 4: Simplify right side
    72,301.50x = 13,368,678,129
  5. Step 5: Solve for x
    x = 13,368,678,129/72,301.50
  6. Step 6: Final answer
    x = 184,901.81

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.