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Finding the Third Proportional to 93,353 and 148,427

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Solution

The third proportional to 93,353 and 148,427 is: 235,992.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,353 : 148,427 = 148,427 : x
  2. Step 2: Convert to fraction form
    93,353/148,427 = 148,427/x
  3. Step 3: Cross multiply
    93,353x = 148,427 × 148,427
  4. Step 4: Simplify right side
    93,353x = 22,030,574,329
  5. Step 5: Solve for x
    x = 22,030,574,329/93,353
  6. Step 6: Final answer
    x = 235,992.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.