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Finding the Third Proportional to 75,148 and 117,210

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Solution

The third proportional to 75,148 and 117,210 is: 182,815.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,148 : 117,210 = 117,210 : x
  2. Step 2: Convert to fraction form
    75,148/117,210 = 117,210/x
  3. Step 3: Cross multiply
    75,148x = 117,210 × 117,210
  4. Step 4: Simplify right side
    75,148x = 13,738,184,100
  5. Step 5: Solve for x
    x = 13,738,184,100/75,148
  6. Step 6: Final answer
    x = 182,815.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.