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Finding the Third Proportional to 93,672 and 143,637

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Solution

The third proportional to 93,672 and 143,637 is: 220,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,672 : 143,637 = 143,637 : x
  2. Step 2: Convert to fraction form
    93,672/143,637 = 143,637/x
  3. Step 3: Cross multiply
    93,672x = 143,637 × 143,637
  4. Step 4: Simplify right side
    93,672x = 20,631,587,769
  5. Step 5: Solve for x
    x = 20,631,587,769/93,672
  6. Step 6: Final answer
    x = 220,253.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.