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Finding the Third Proportional to 114,466.50 and 163,147.50

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Solution

The third proportional to 114,466.50 and 163,147.50 is: 232,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,466.50 : 163,147.50 = 163,147.50 : x
  2. Step 2: Convert to fraction form
    114,466.50/163,147.50 = 163,147.50/x
  3. Step 3: Cross multiply
    114,466.50x = 163,147.50 × 163,147.50
  4. Step 4: Simplify right side
    114,466.50x = 26,617,106,756.25
  5. Step 5: Solve for x
    x = 26,617,106,756.25/114,466.50
  6. Step 6: Final answer
    x = 232,531.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.