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Finding the Third Proportional to 93,319 and 143,435

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Solution

The third proportional to 93,319 and 143,435 is: 220,465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,319 : 143,435 = 143,435 : x
  2. Step 2: Convert to fraction form
    93,319/143,435 = 143,435/x
  3. Step 3: Cross multiply
    93,319x = 143,435 × 143,435
  4. Step 4: Simplify right side
    93,319x = 20,573,599,225
  5. Step 5: Solve for x
    x = 20,573,599,225/93,319
  6. Step 6: Final answer
    x = 220,465.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.