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Finding the Third Proportional to 117,554 and 171,298

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Solution

The third proportional to 117,554 and 171,298 is: 249,612.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,554 : 171,298 = 171,298 : x
  2. Step 2: Convert to fraction form
    117,554/171,298 = 171,298/x
  3. Step 3: Cross multiply
    117,554x = 171,298 × 171,298
  4. Step 4: Simplify right side
    117,554x = 29,343,004,804
  5. Step 5: Solve for x
    x = 29,343,004,804/117,554
  6. Step 6: Final answer
    x = 249,612.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.