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Finding the Third Proportional to 93,051.75 and 121,671

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Solution

The third proportional to 93,051.75 and 121,671 is: 159,092.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,051.75 : 121,671 = 121,671 : x
  2. Step 2: Convert to fraction form
    93,051.75/121,671 = 121,671/x
  3. Step 3: Cross multiply
    93,051.75x = 121,671 × 121,671
  4. Step 4: Simplify right side
    93,051.75x = 14,803,832,241
  5. Step 5: Solve for x
    x = 14,803,832,241/93,051.75
  6. Step 6: Final answer
    x = 159,092.46

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.