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Finding the Third Proportional to 107,585 and 235,586

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Solution

The third proportional to 107,585 and 235,586 is: 515,878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,585 : 235,586 = 235,586 : x
  2. Step 2: Convert to fraction form
    107,585/235,586 = 235,586/x
  3. Step 3: Cross multiply
    107,585x = 235,586 × 235,586
  4. Step 4: Simplify right side
    107,585x = 55,500,763,396
  5. Step 5: Solve for x
    x = 55,500,763,396/107,585
  6. Step 6: Final answer
    x = 515,878.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.