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Finding the Third Proportional to 93,356 and 143,494

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Solution

The third proportional to 93,356 and 143,494 is: 220,559.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,356 : 143,494 = 143,494 : x
  2. Step 2: Convert to fraction form
    93,356/143,494 = 143,494/x
  3. Step 3: Cross multiply
    93,356x = 143,494 × 143,494
  4. Step 4: Simplify right side
    93,356x = 20,590,528,036
  5. Step 5: Solve for x
    x = 20,590,528,036/93,356
  6. Step 6: Final answer
    x = 220,559.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.