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Finding the Third Proportional to 117,492 and 175,724

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Solution

The third proportional to 117,492 and 175,724 is: 262,817.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,492 : 175,724 = 175,724 : x
  2. Step 2: Convert to fraction form
    117,492/175,724 = 175,724/x
  3. Step 3: Cross multiply
    117,492x = 175,724 × 175,724
  4. Step 4: Simplify right side
    117,492x = 30,878,924,176
  5. Step 5: Solve for x
    x = 30,878,924,176/117,492
  6. Step 6: Final answer
    x = 262,817.25

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Why These Related Problems?

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