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Finding the Third Proportional to 75,686.50 and 117,192.50

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Solution

The third proportional to 75,686.50 and 117,192.50 is: 181,460.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,686.50 : 117,192.50 = 117,192.50 : x
  2. Step 2: Convert to fraction form
    75,686.50/117,192.50 = 117,192.50/x
  3. Step 3: Cross multiply
    75,686.50x = 117,192.50 × 117,192.50
  4. Step 4: Simplify right side
    75,686.50x = 13,734,082,056.25
  5. Step 5: Solve for x
    x = 13,734,082,056.25/75,686.50
  6. Step 6: Final answer
    x = 181,460.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.