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Finding the Third Proportional to 93,681 and 135,418.50

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Solution

The third proportional to 93,681 and 135,418.50 is: 195,751.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,681 : 135,418.50 = 135,418.50 : x
  2. Step 2: Convert to fraction form
    93,681/135,418.50 = 135,418.50/x
  3. Step 3: Cross multiply
    93,681x = 135,418.50 × 135,418.50
  4. Step 4: Simplify right side
    93,681x = 18,338,170,142.25
  5. Step 5: Solve for x
    x = 18,338,170,142.25/93,681
  6. Step 6: Final answer
    x = 195,751.22

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.