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Finding the Third Proportional to 93,609 and 127,028.25

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Solution

The third proportional to 93,609 and 127,028.25 is: 172,378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,609 : 127,028.25 = 127,028.25 : x
  2. Step 2: Convert to fraction form
    93,609/127,028.25 = 127,028.25/x
  3. Step 3: Cross multiply
    93,609x = 127,028.25 × 127,028.25
  4. Step 4: Simplify right side
    93,609x = 16,136,176,298.06
  5. Step 5: Solve for x
    x = 16,136,176,298.06/93,609
  6. Step 6: Final answer
    x = 172,378.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.