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Finding the Third Proportional to 117,706 and 151,130

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Solution

The third proportional to 117,706 and 151,130 is: 194,045.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,706 : 151,130 = 151,130 : x
  2. Step 2: Convert to fraction form
    117,706/151,130 = 151,130/x
  3. Step 3: Cross multiply
    117,706x = 151,130 × 151,130
  4. Step 4: Simplify right side
    117,706x = 22,840,276,900
  5. Step 5: Solve for x
    x = 22,840,276,900/117,706
  6. Step 6: Final answer
    x = 194,045.14

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.