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Finding the Third Proportional to 75,312.50 and 163,022.50

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Solution

The third proportional to 75,312.50 and 163,022.50 is: 352,880.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,312.50 : 163,022.50 = 163,022.50 : x
  2. Step 2: Convert to fraction form
    75,312.50/163,022.50 = 163,022.50/x
  3. Step 3: Cross multiply
    75,312.50x = 163,022.50 × 163,022.50
  4. Step 4: Simplify right side
    75,312.50x = 26,576,335,506.25
  5. Step 5: Solve for x
    x = 26,576,335,506.25/75,312.50
  6. Step 6: Final answer
    x = 352,880.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.