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Finding the Third Proportional to 79,365 and 119,857.50

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Solution

The third proportional to 79,365 and 119,857.50 is: 181,009.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,365 : 119,857.50 = 119,857.50 : x
  2. Step 2: Convert to fraction form
    79,365/119,857.50 = 119,857.50/x
  3. Step 3: Cross multiply
    79,365x = 119,857.50 × 119,857.50
  4. Step 4: Simplify right side
    79,365x = 14,365,820,306.25
  5. Step 5: Solve for x
    x = 14,365,820,306.25/79,365
  6. Step 6: Final answer
    x = 181,009.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.