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Finding the Third Proportional to 93,587 and 140,335

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Solution

The third proportional to 93,587 and 140,335 is: 210,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,587 : 140,335 = 140,335 : x
  2. Step 2: Convert to fraction form
    93,587/140,335 = 140,335/x
  3. Step 3: Cross multiply
    93,587x = 140,335 × 140,335
  4. Step 4: Simplify right side
    93,587x = 19,693,912,225
  5. Step 5: Solve for x
    x = 19,693,912,225/93,587
  6. Step 6: Final answer
    x = 210,434.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.