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Finding the Third Proportional to 93,987 and 143,957.25

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Solution

The third proportional to 93,987 and 143,957.25 is: 220,495.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,987 : 143,957.25 = 143,957.25 : x
  2. Step 2: Convert to fraction form
    93,987/143,957.25 = 143,957.25/x
  3. Step 3: Cross multiply
    93,987x = 143,957.25 × 143,957.25
  4. Step 4: Simplify right side
    93,987x = 20,723,689,827.56
  5. Step 5: Solve for x
    x = 20,723,689,827.56/93,987
  6. Step 6: Final answer
    x = 220,495.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.