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Finding the Third Proportional to 93,402 and 142,039

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Solution

The third proportional to 93,402 and 142,039 is: 216,002.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,402 : 142,039 = 142,039 : x
  2. Step 2: Convert to fraction form
    93,402/142,039 = 142,039/x
  3. Step 3: Cross multiply
    93,402x = 142,039 × 142,039
  4. Step 4: Simplify right side
    93,402x = 20,175,077,521
  5. Step 5: Solve for x
    x = 20,175,077,521/93,402
  6. Step 6: Final answer
    x = 216,002.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.