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Finding the Third Proportional to 117,534 and 171,378

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Solution

The third proportional to 117,534 and 171,378 is: 249,888.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,534 : 171,378 = 171,378 : x
  2. Step 2: Convert to fraction form
    117,534/171,378 = 171,378/x
  3. Step 3: Cross multiply
    117,534x = 171,378 × 171,378
  4. Step 4: Simplify right side
    117,534x = 29,370,418,884
  5. Step 5: Solve for x
    x = 29,370,418,884/117,534
  6. Step 6: Final answer
    x = 249,888.70

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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.