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Finding the Third Proportional to 107,153 and 235,460

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Solution

The third proportional to 107,153 and 235,460 is: 517,404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,153 : 235,460 = 235,460 : x
  2. Step 2: Convert to fraction form
    107,153/235,460 = 235,460/x
  3. Step 3: Cross multiply
    107,153x = 235,460 × 235,460
  4. Step 4: Simplify right side
    107,153x = 55,441,411,600
  5. Step 5: Solve for x
    x = 55,441,411,600/107,153
  6. Step 6: Final answer
    x = 517,404.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.