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Finding the Third Proportional to 93,424 and 141,108

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Solution

The third proportional to 93,424 and 141,108 is: 213,130.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,424 : 141,108 = 141,108 : x
  2. Step 2: Convert to fraction form
    93,424/141,108 = 141,108/x
  3. Step 3: Cross multiply
    93,424x = 141,108 × 141,108
  4. Step 4: Simplify right side
    93,424x = 19,911,467,664
  5. Step 5: Solve for x
    x = 19,911,467,664/93,424
  6. Step 6: Final answer
    x = 213,130.11

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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.