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Finding the Third Proportional to 93,438 and 144,956

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Solution

The third proportional to 93,438 and 144,956 is: 224,878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,438 : 144,956 = 144,956 : x
  2. Step 2: Convert to fraction form
    93,438/144,956 = 144,956/x
  3. Step 3: Cross multiply
    93,438x = 144,956 × 144,956
  4. Step 4: Simplify right side
    93,438x = 21,012,241,936
  5. Step 5: Solve for x
    x = 21,012,241,936/93,438
  6. Step 6: Final answer
    x = 224,878.98

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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.