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Finding the Third Proportional to 66,434 and 114,627

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Solution

The third proportional to 66,434 and 114,627 is: 197,780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,434 : 114,627 = 114,627 : x
  2. Step 2: Convert to fraction form
    66,434/114,627 = 114,627/x
  3. Step 3: Cross multiply
    66,434x = 114,627 × 114,627
  4. Step 4: Simplify right side
    66,434x = 13,139,349,129
  5. Step 5: Solve for x
    x = 13,139,349,129/66,434
  6. Step 6: Final answer
    x = 197,780.49

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.