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Finding the Third Proportional to 91,017 and 188,514

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Solution

The third proportional to 91,017 and 188,514 is: 390,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,017 : 188,514 = 188,514 : x
  2. Step 2: Convert to fraction form
    91,017/188,514 = 188,514/x
  3. Step 3: Cross multiply
    91,017x = 188,514 × 188,514
  4. Step 4: Simplify right side
    91,017x = 35,537,528,196
  5. Step 5: Solve for x
    x = 35,537,528,196/91,017
  6. Step 6: Final answer
    x = 390,449.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.