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Finding the Third Proportional to 93,286 and 147,952

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Solution

The third proportional to 93,286 and 147,952 is: 234,652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,286 : 147,952 = 147,952 : x
  2. Step 2: Convert to fraction form
    93,286/147,952 = 147,952/x
  3. Step 3: Cross multiply
    93,286x = 147,952 × 147,952
  4. Step 4: Simplify right side
    93,286x = 21,889,794,304
  5. Step 5: Solve for x
    x = 21,889,794,304/93,286
  6. Step 6: Final answer
    x = 234,652.51

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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.