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Finding the Third Proportional to 53,234 and 83,507

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Solution

The third proportional to 53,234 and 83,507 is: 130,995.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,234 : 83,507 = 83,507 : x
  2. Step 2: Convert to fraction form
    53,234/83,507 = 83,507/x
  3. Step 3: Cross multiply
    53,234x = 83,507 × 83,507
  4. Step 4: Simplify right side
    53,234x = 6,973,419,049
  5. Step 5: Solve for x
    x = 6,973,419,049/53,234
  6. Step 6: Final answer
    x = 130,995.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.