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Finding the Third Proportional to 115,726 and 175,534

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Solution

The third proportional to 115,726 and 175,534 is: 266,251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,726 : 175,534 = 175,534 : x
  2. Step 2: Convert to fraction form
    115,726/175,534 = 175,534/x
  3. Step 3: Cross multiply
    115,726x = 175,534 × 175,534
  4. Step 4: Simplify right side
    115,726x = 30,812,185,156
  5. Step 5: Solve for x
    x = 30,812,185,156/115,726
  6. Step 6: Final answer
    x = 266,251.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.