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Finding the Third Proportional to 116,547 and 250,086

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Solution

The third proportional to 116,547 and 250,086 is: 536,633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,547 : 250,086 = 250,086 : x
  2. Step 2: Convert to fraction form
    116,547/250,086 = 250,086/x
  3. Step 3: Cross multiply
    116,547x = 250,086 × 250,086
  4. Step 4: Simplify right side
    116,547x = 62,543,007,396
  5. Step 5: Solve for x
    x = 62,543,007,396/116,547
  6. Step 6: Final answer
    x = 536,633.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.