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Finding the Third Proportional to 93,246 and 140,643

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Solution

The third proportional to 93,246 and 140,643 is: 212,131.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,246 : 140,643 = 140,643 : x
  2. Step 2: Convert to fraction form
    93,246/140,643 = 140,643/x
  3. Step 3: Cross multiply
    93,246x = 140,643 × 140,643
  4. Step 4: Simplify right side
    93,246x = 19,780,453,449
  5. Step 5: Solve for x
    x = 19,780,453,449/93,246
  6. Step 6: Final answer
    x = 212,131.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.