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Finding the Third Proportional to 40,240 and 59,146

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Solution

The third proportional to 40,240 and 59,146 is: 86,934.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,240 : 59,146 = 59,146 : x
  2. Step 2: Convert to fraction form
    40,240/59,146 = 59,146/x
  3. Step 3: Cross multiply
    40,240x = 59,146 × 59,146
  4. Step 4: Simplify right side
    40,240x = 3,498,249,316
  5. Step 5: Solve for x
    x = 3,498,249,316/40,240
  6. Step 6: Final answer
    x = 86,934.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.