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Finding the Third Proportional to 93,086 and 147,972

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Solution

The third proportional to 93,086 and 147,972 is: 235,220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,086 : 147,972 = 147,972 : x
  2. Step 2: Convert to fraction form
    93,086/147,972 = 147,972/x
  3. Step 3: Cross multiply
    93,086x = 147,972 × 147,972
  4. Step 4: Simplify right side
    93,086x = 21,895,712,784
  5. Step 5: Solve for x
    x = 21,895,712,784/93,086
  6. Step 6: Final answer
    x = 235,220.26

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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.