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Finding the Third Proportional to 117,531 and 176,553

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Solution

The third proportional to 117,531 and 176,553 is: 265,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,531 : 176,553 = 176,553 : x
  2. Step 2: Convert to fraction form
    117,531/176,553 = 176,553/x
  3. Step 3: Cross multiply
    117,531x = 176,553 × 176,553
  4. Step 4: Simplify right side
    117,531x = 31,170,961,809
  5. Step 5: Solve for x
    x = 31,170,961,809/117,531
  6. Step 6: Final answer
    x = 265,214.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.