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Finding the Third Proportional to 93,472 and 141,323

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Solution

The third proportional to 93,472 and 141,323 is: 213,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,472 : 141,323 = 141,323 : x
  2. Step 2: Convert to fraction form
    93,472/141,323 = 141,323/x
  3. Step 3: Cross multiply
    93,472x = 141,323 × 141,323
  4. Step 4: Simplify right side
    93,472x = 19,972,190,329
  5. Step 5: Solve for x
    x = 19,972,190,329/93,472
  6. Step 6: Final answer
    x = 213,670.30

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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.