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Finding the Third Proportional to 93,402 and 145,026

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Solution

The third proportional to 93,402 and 145,026 is: 225,182.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,402 : 145,026 = 145,026 : x
  2. Step 2: Convert to fraction form
    93,402/145,026 = 145,026/x
  3. Step 3: Cross multiply
    93,402x = 145,026 × 145,026
  4. Step 4: Simplify right side
    93,402x = 21,032,540,676
  5. Step 5: Solve for x
    x = 21,032,540,676/93,402
  6. Step 6: Final answer
    x = 225,182.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.