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Finding the Third Proportional to 93,324 and 143,442

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Solution

The third proportional to 93,324 and 143,442 is: 220,474.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,324 : 143,442 = 143,442 : x
  2. Step 2: Convert to fraction form
    93,324/143,442 = 143,442/x
  3. Step 3: Cross multiply
    93,324x = 143,442 × 143,442
  4. Step 4: Simplify right side
    93,324x = 20,575,607,364
  5. Step 5: Solve for x
    x = 20,575,607,364/93,324
  6. Step 6: Final answer
    x = 220,474.98

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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.