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Finding the Third Proportional to 115,382 and 175,239

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Solution

The third proportional to 115,382 and 175,239 is: 266,148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,382 : 175,239 = 175,239 : x
  2. Step 2: Convert to fraction form
    115,382/175,239 = 175,239/x
  3. Step 3: Cross multiply
    115,382x = 175,239 × 175,239
  4. Step 4: Simplify right side
    115,382x = 30,708,707,121
  5. Step 5: Solve for x
    x = 30,708,707,121/115,382
  6. Step 6: Final answer
    x = 266,148.16

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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.