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Finding the Third Proportional to 114,069 and 170,127

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Solution

The third proportional to 114,069 and 170,127 is: 253,734.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,069 : 170,127 = 170,127 : x
  2. Step 2: Convert to fraction form
    114,069/170,127 = 170,127/x
  3. Step 3: Cross multiply
    114,069x = 170,127 × 170,127
  4. Step 4: Simplify right side
    114,069x = 28,943,196,129
  5. Step 5: Solve for x
    x = 28,943,196,129/114,069
  6. Step 6: Final answer
    x = 253,734.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.