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Finding the Third Proportional to 93,142 and 147,551

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Solution

The third proportional to 93,142 and 147,551 is: 233,743.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,142 : 147,551 = 147,551 : x
  2. Step 2: Convert to fraction form
    93,142/147,551 = 147,551/x
  3. Step 3: Cross multiply
    93,142x = 147,551 × 147,551
  4. Step 4: Simplify right side
    93,142x = 21,771,297,601
  5. Step 5: Solve for x
    x = 21,771,297,601/93,142
  6. Step 6: Final answer
    x = 233,743.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.