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Finding the Third Proportional to 75,390 and 114,066

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Solution

The third proportional to 75,390 and 114,066 is: 172,583.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,390 : 114,066 = 114,066 : x
  2. Step 2: Convert to fraction form
    75,390/114,066 = 114,066/x
  3. Step 3: Cross multiply
    75,390x = 114,066 × 114,066
  4. Step 4: Simplify right side
    75,390x = 13,011,052,356
  5. Step 5: Solve for x
    x = 13,011,052,356/75,390
  6. Step 6: Final answer
    x = 172,583.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.