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Finding the Third Proportional to 117,506.25 and 176,521.50

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Solution

The third proportional to 117,506.25 and 176,521.50 is: 265,176.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,506.25 : 176,521.50 = 176,521.50 : x
  2. Step 2: Convert to fraction form
    117,506.25/176,521.50 = 176,521.50/x
  3. Step 3: Cross multiply
    117,506.25x = 176,521.50 × 176,521.50
  4. Step 4: Simplify right side
    117,506.25x = 31,159,839,962.25
  5. Step 5: Solve for x
    x = 31,159,839,962.25/117,506.25
  6. Step 6: Final answer
    x = 265,176.02

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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.