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Finding the Third Proportional to 93,356 and 148,431

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Solution

The third proportional to 93,356 and 148,431 is: 235,997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,356 : 148,431 = 148,431 : x
  2. Step 2: Convert to fraction form
    93,356/148,431 = 148,431/x
  3. Step 3: Cross multiply
    93,356x = 148,431 × 148,431
  4. Step 4: Simplify right side
    93,356x = 22,031,761,761
  5. Step 5: Solve for x
    x = 22,031,761,761/93,356
  6. Step 6: Final answer
    x = 235,997.28

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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.