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Finding the Third Proportional to 78,754 and 119,588

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Solution

The third proportional to 78,754 and 119,588 is: 181,594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,754 : 119,588 = 119,588 : x
  2. Step 2: Convert to fraction form
    78,754/119,588 = 119,588/x
  3. Step 3: Cross multiply
    78,754x = 119,588 × 119,588
  4. Step 4: Simplify right side
    78,754x = 14,301,289,744
  5. Step 5: Solve for x
    x = 14,301,289,744/78,754
  6. Step 6: Final answer
    x = 181,594.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.