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Finding the Third Proportional to 93,397 and 139,765

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Solution

The third proportional to 93,397 and 139,765 is: 209,152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,397 : 139,765 = 139,765 : x
  2. Step 2: Convert to fraction form
    93,397/139,765 = 139,765/x
  3. Step 3: Cross multiply
    93,397x = 139,765 × 139,765
  4. Step 4: Simplify right side
    93,397x = 19,534,255,225
  5. Step 5: Solve for x
    x = 19,534,255,225/93,397
  6. Step 6: Final answer
    x = 209,152.92

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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.