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Finding the Third Proportional to 75,047 and 114,117.75

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Solution

The third proportional to 75,047 and 114,117.75 is: 173,529.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,047 : 114,117.75 = 114,117.75 : x
  2. Step 2: Convert to fraction form
    75,047/114,117.75 = 114,117.75/x
  3. Step 3: Cross multiply
    75,047x = 114,117.75 × 114,117.75
  4. Step 4: Simplify right side
    75,047x = 13,022,860,865.06
  5. Step 5: Solve for x
    x = 13,022,860,865.06/75,047
  6. Step 6: Final answer
    x = 173,529.40

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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.